Solve the exponential equation by taking the logarithm on both sides. 5^(x+8)=7

Answers

Answer 1
Answer:

x = (log₅7) - 8

Explanation:

Given;

[tex]5^{x+8}[/tex] = 7

Take log of both sides;

log₁₀([tex]5^{x+8}[/tex]) = log₁₀7               -------------(ii)

From the laws of logarithm remember that;

logₐ xⁿ = n logₐ x

Equation (ii) can then be written as;

(x + 8)log₁₀5 = log₁₀7

Divide both sides by log₁₀5

(x + 8) = [tex]\frac{log_{10}7}{log_{10}5}[/tex]                -----------(iii)

From the laws of logarithm, remember that;

[tex]\frac{log_{a}x}{log_{a}y} = log_yx[/tex]

Equation (iii) can thus be written as;

(x + 8) = log₅7

x + 8 = log₅7

Make x subject of the formula;

x = (log₅7) - 8


Related Questions

In a free market setting where quantity supplied is 40 units and quantity demanded is 50 units, price will:

Answers

Answer: Increase

Explanation:

According to the Law of Supply and Demand, If the demand for the good is higher than the supply, the price will be higher to reflect the relative scarcity and if the demand is lower than supply, the price will be lower to reflect the relative excess.

In this case the quantity demanded is higher than the quantity supplied so the price will have to increase to reflect the relative scarcity of the good.

On January 1, a company purchased a five-year insurance policy for $1,800 with coverage starting immediately. If the purchase was recorded in the Prepaid Insurance account, and the company records adjustments only at year-end, the adjusting entry at the end of the first year is: A. Debit Prepaid Insurance, $1,800; credit Cash, $1,800. B. Debit Prepaid Insurance, $1,440; credit Insurance Expense, $1,440. C. Debit Prepaid Insurance, $360; credit Insurance Expense, $360. D. Debit Insurance Expense, $360; credit Prepaid Insurance, $360. E. Debit Insurance Expense, $1,440; credit Prepaid Insurance, $1,440.

Answers

Answer:

D. Debit Insurance Expense, $360; credit Prepaid Insurance, $360

Explanation:

The journal entry is shown below:

Insurance expense Dr $360 ($1,800 ÷ 5 years)

      To Prepaid insurance $360

(being insurance expense is recorded)

Here insurance expense is debited as it increased the expense and credited the prepaid insurance as it decreased the assets

A motorist from State A struck and injured a pedestrian in State B. The pedestrian, a State B resident, brought an action in a State B federal court against the State A motorist, seeking $100,000 in damages. The summons and complaint were served on a receptionist at the motorist's place of business in State A. State A's rules permit service of process in this manner, while State B's rules do not. If the motorist moves to dismiss the complaint on the basis of improper service of process, is the court likely to dismiss the action

Answers

Answer: C. No, because the federal rules permit service under the rules of the state in which service will be effected.

Explanation:

The case was filed in federal court so the rules regarding the service of the summons will be according to the rules of federal courts.

Rule 4 of the Federal Rules of Civil Procedure allows for the service of a summons to be based on the service rules of the state where the service is to be made. As the service was done in State A and State A allows service to be at defendant's place of business, proper procedure was followed and so the court will not dismiss the action.

The amount by which a product's unit selling price exceeds its total unit variable cost is the: Multiple choice question. contribution margin ratio contribution margin per unit fixed cost per unit margin of safety

Answers

Answer:

contribution margin ratio

Explanation:

contribution margin ratio = price - variable cost

homeworklib The Ramapo Company produces two products, Blinks and Dinks. They are manufactured in two departments, Fabrication and Assembly. Data for the products and departments are listed below. Product Number of Units Labor Hours Per Unit Machine Hours Per Unit Blinks 964 3 5 Dinks 1,943 5 8 All of the machine hours take place in the Fabrication department, which has an estimated overhead of $103,800. All of the labor hours take place in the Assembly department, which has an estimated total overhead of $79,600. The Ramapo Company uses a single overhead rate to apply all overhead costs based on labor hours. What is the overhead cost per unit for Blinks

Answers

Answer:

Overhead per unit of Blinks= $43.65

Explanation:

Giving the following information:

Product Number of Units Labor Hours Per Unit

Blinks 964 3

Dinks 1,943 5

First, we need to calculate the total estimated overhead and the total number of labor hours:

Total estimated overhead= 103,800 + 79,600= $183,400

Total number of labor hours= (964*3) + (1,943*5)= 12,607

To calculate the predetermined manufacturing overhead rate we need to use the following formula:

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Predetermined manufacturing overhead rate= 183,400 / 12,607

Predetermined manufacturing overhead rate= $14.55 per direct labor hour

Finally, we can allocate overhead to Blinks:

Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base

Blinks= 14.55*3= $43.65

Offering direct online sales to consumers while also promoting wholesale and retail sales can result in Multiple select question. cannibalization of retailers' sales. a net loss of sales due to disgruntled dealers. a signal of the company's strong commitment to retailers. channel conflict.

Answers

Answer:

cannibalization of retailers' sales.

Explanation:

Salespeople can be defined as a group of individuals or employees who are saddled with the responsibility of taking orders from customers, as well as sales of finished goods and services to consumers or end users.

Offering direct online sales of goods and services to consumers while also promoting wholesale and retail sales can result in cannibalization of retailers' sales because the retailer wouldn't be able to make sales.

ith respect to the write-off of an uncollectible account receivable against the Allowance for Bad Debts account, a sound system of internal control would require: Multiple Choice an investigation of why credit was extended to this customer in the first place. a lawsuit to be initiated to recover the uncollectible amount. the write-off to be made within six months after the date of sale. the write-off be approved by two employees.

Answers

Answer:

The write-off to be approved by two employees

Explanation:

Allowance Method

This method is capitalizes on matching principle. The key work is to record bad debts expense in the same period as the sales revenue.

Direct Write-off Method

This is simply known as when an accounts receivable are written off and bad debts expense is recorded when the company determines that it will not be able to collect from a specific customer.

Method used

Record bad debts expense and reduce accounts receivable

Debit: Bad Debts Expense

Credit: Accounts Receivable

Recovery method

Step 1: Reverse earlier write off

Debit: Accounts Receivable

Credit: Bad Debts Expense

Allowance For Bad Debts Account

It is usually in a contra asset account, in relation to accounts receivable, that holds the estimated amount of uncollectible accounts. The account is said to limits the asset receivable in anticipation of uncollectible debts.

True or false: According to the equity theory, each worker develops a personal input-output ratio to compare his or her inputs with the inputs or rewards offered by the organization.

Answers

Answer:

true

Explanation:

plz add me in ur brainlist

The answer is : True

there are these Karens at my house putting their trash in front of MY HOUSE and what can i do?​

Answers

Call the cops or leave them be Karen’s

Answer:

call the cops

Explanation:

First have a conversation with them and if they do not understand simply be a Karen yourself and call the cops. I am pretty sure they will know what to do because that is YOUR property (or at least your own space that you pay for).

When determining the human resources needs for a well-known engineering firm, the HR director realized that the company lacked engineers under the age of 30. The company could not afford to get caught short in this competitive business climate. An important recruitment strategy for the HR director's department was to start attending college fairs as well as considering hiring interns. We define his recruitment efforts as developing relationships with ________ sources. Multiple Choice external internal median civilian

Answers

Answer:

External

Explanation:

Human resources management

This is simply set up and control of formal systems for employee management within an organization.

Recruiting

This is refered to as the ways or process of getting a list of qualified candidates. The aim is to make the organization attractive to qualified applicants.

External Factors Affecting Recruitment

1. Supply and demand- labor market, unemployment rate

2. Social and legal environment

3.Competitors practices

Types of external source of labor

1. Direct recruitment where Informations are displayed on notice board. They are usually low cost.

2. Casual callers: this is simply known as a list of job seekers that is prepared and as the need arises they are called for an interview.

3. Advertisement through Newspaper, advertising etc.

What is one benefit of a saving account?

Answers

one benefit is having some money for the future, if there is an emergency or if you made a goal to buy a car, you can go into the account
One benefit is deposited funds accrue interest over time.

and ends at (240,250). There is a blue downward sloping line that starts at (70,250) and ends at (240,150).) What sales price should you select to meet the equilibrium price for the lawn mower?

Answers

Answer:

$190

Explanation:

The equilibrium price of the lawnmower can be deduced from the graph ; it is the point of intersection of the orange and blue line ; which is the intersection point if the supply and demand line. The price axis is located on the vertical y-axis. This intersection point when traced to the left of the graph gives the equilibrium price. Hence, the equilibrium price as obtained from the graph is about $190

The blurring of lines between the state and a special interest group in which a close alliance develops is called

Answers

Answer:

a. co-optation

Explanation:

Co-optation means the things could be taken out or are considered for the new or the different motive

Since the lines are burried and lies between the state and the special interest group in which the close alliance are created so this is we called as the co-optation

Therefore the same should be considered

Today's most successful companies are including _____ directly in the product and service development process.

Answers

Answer:

Today's most successful companies are including customers directly in the product and service development process.

Marcia Baker ships orchids and other perishable flowers from her greenhouses near San Francisco to florists thousands of miles away in cities such as New York, Boston, and Philadelphia. Since the flowers must reach the florists as quickly as possible, the best mode of transportation for Marcia to use would be Multiple Choice railroads. trucks. air. ships.

Answers

Answer:

air

Explanation:

San Francisco is located on the SouthWest corner of the United States, while other states such as New York, Boston, adn Philadelphia are located on the NorthEast corner of the United States. This means that the ships are not an option since they would have to go all the way around and would be the longest option. Therefore, the best and fastest option would be through air. Since both railroads and trucks are viable but would take much longer than sending the flowers through air.

When someone takes out a mortgage loan to buy a house, the mortgage lender can take possession of the house and sell it if the borrower defaults by failing to make payments on the loan because the house is being pledged as ________ for the loan. Select one: A. collateral B. a liability C. goodwill D. insurance Clear my choice

Answers

Answer:

A. Collateral

Explanation:

A collateral is a valuable item, a property or an asset that is offered by a borrower of a loan to the lender of the loan as a form of loan security, such that the lender can take possession of the asset, monetize the asset and recover the losses. Collateralized loans includes car loans and mortgages.

Lending such as those given in business credit card does not require loan securities

Will give brainliest to anyone who can explain how to solve this

Answers

Find the amount of markup by subtracting the store cost from sale price:

25-5 = 20

Divide markup amount by cost:

20/5 = 4

Multiply by 100 to get percentage

4 x 100 = 400 %

The answer is B. 400%

Answer:

Explanation:

After-Before/Before = 25-5=20 / 5=4 = 400%B

The following industries have a market-oriented location A. Newspapers B. Yahoo! Data center C. Paper mills D. Textiles

Answers

Answer:

A. Newspapers

D. Textiles

Explanation:

Market oriented location is the selection of business location based on customers. The market for business will be selected where there are customers already present. This is possible where there is presence of some competitor in market and business chooses to open its store just beside him so that competitor customers may visit our store too.

Which of the following sales would be covered by Article 2 of the Uniform Commercial Code? Group of answer choices the sale of intangible goods the sale of tangible goods the sale of real estate the sale of stocks

Answers

Answer:

the sale of tangible goods

Explanation:

Article 2 is applied for the contract that made for selling the goods. the goods that are identifed at the time when the contract is created and could be moved. It mainly deals with the tangible things like computers, cars, pens, etc

The intellectual property and intangible should not be cover in this

Therefore the above should be considered

Find the average variable cost for producing 18 sneakers. Round your answer to the nearest hundredth.

Answers

Answer: $2.78

Explanation:

Average variable cost is calculated by dividing the total variable cost of producing a certain number of units of a good by that same number of units.

Average variable cost = Variable cost of producing 18 sneakers / 18

= 50 / 18

= 2.7778

= $2.78

An automobile assembly plant in Kentucky purchases several thousand unassembled parts for automobiles and then performs final assembly of the vehicles before delivering them to dealers all over the nation. Purchasing parts several days or weeks before they are assembled would increase the total cash outlay the plant has tied up in inventory at any given time. In order to reduce the expense of large inventories, most assembly plants have successfully adopted __________ inventory systems.

Answers

Answer:

Just-in-time

Explanation:

From the question we are informed An automobile assembly plant in Kentucky who purchases several thousand unassembled parts for automobiles and then performs final assembly of the vehicles before delivering them to dealers all over the nation. Purchasing parts several days or weeks before they are assembled would increase the total cash outlay the plant has tied up in inventory at any given time. In order to reduce the expense of large inventories, most assembly plants have successfully adopted Just-in-time inventory systems.

The just in time inventory system can be regarded as a system involving management of inventory which is been designed to bring about improved efficiency as well as reduced waste in a production process , so that at the end inventory carrying costs is minimized.

Sasha has the new responsibility of initiating strategies that would help safeguarding her company against recession. She conducts a meeting with all the employees in which she explains how she would go about implementing her plans. She also motivates and encourages employees to follow through with her plan. Sasha is a ________.

Answers

Answer:

Strategic leader

Explanation:

Leadership can be defined as a process which typically involves motivating, encouraging and inspiring employees working under an individual to be innovative and create positive changes that will foster growth and enhance the success of a business firm or company in the future.

A leader can be defined as an individual who is saddled with the responsibility of controlling, managing and maintaining a group of people under him or her. Some types of power expressed by leaders are referent power, legitimate power, coercive power, etc.

Generally, leaders use their powers to get other people to follow them. Some forms of power result from a formalized position in the organization while others are derived from personal characteristics or knowledge.

A strategic leader refers to an individual that utilizes strategy in the management of people without the use of threats and force to make them follow.

In this scenario, Sasha is a strategic leader because she motivates and encourages the employees to follow through with her plan.

Financial Statements of ABC Corp. indicates that ending inventory levels in 2005 and 2006 were $200,000 and $350,000 respectively. Cost of Goods sold for 2005 and 2006 were $1,900,000 and $2,200,000 respectively. Purchases in 2006 were:

Answers

Answer:

Cost of goods purchased= $2,350,000

Explanation:

Giving the following information:

Beginning inventory 2006= ending inventory 2005= $200,000

Ending inventory 2006= $350,000

COGS 2006= $2,200,000

To calculate the purchases for 2006, we need to use the following formula:

COGS= beginning finished inventory + cost of goods purchased - ending finished inventory

2,200,000 = 200,000 + cost of goods purchased - 350,000

2,200,000 - 200,000 + 350,000 = cost of goods purchased

cost of goods purchased= $2,350,000

2. One advantage of buying a used car is __________. A. a more extensive warranty B. better fuel economy C. lower insurance rates

Answers

Answer:

C. lower insurance rates

Which option will cause a business to lose money from a failing product

Answers

Group of answer choices.

A. Rebrand the product

B. Spin off the product

C. Discontinue the product

D. Continue the product​

Answer:

D. Continue the product​

Explanation:

A product can be defined as any physical object or material that typically satisfy and meets the demands, needs or wants of customers. Some examples of a product are mobile phones, television, microphone, microwave oven, bread, pencil, freezer, beverages, soft drinks etc.

A product life cycle can be defined as the stages or phases that a particular product passes through, from the period it was introduced into the market to the period when it is eventually removed from the market.

Generally, there are four (4) stages in the product-life cycle;

1. Introduction.

2. Growth.

3. Maturity.

4. Decline.

A product that is at the decline stage is generally referred to as a failed product and wouldn't generate profit or much revenue for the manufacturer because it has little economic importance.

This ultimately implies that, continuing with a failed product is an option which will cause a business to lose money from a failing product.

Answer:

D. Continue the product​

Explanation:

Which option will cause a business to lose money from a failing product Continue.

When the economy is working properly, what is the acceptable range of unemployment?
a 7-10%
b 12-15%
c 4-6%
d 0-3%

When a nation imports more than it exports, economists say it has which of the following?
a a trade deficit
b a balance of trade
c a national defense
d a trade surplus

A high level of energy consumption indicates
a a large labor force working mainly in subsistence agriculture.
b a high level of economic development.
c a population with a low level of education.
d a high infant mortality rate

Answers

Answer:

1. c

2. a

3. b

Explanation:

I dont know how to explain quickly

By hiring your children, you can
pay low wages.
show how much you care.
transfer wealth without estate taxes.
avoid payroll taxes. (Not the correct answer)

Answers

Answer: transfer wealth without estate taxes.

Explanation:

There are several methods to avoid having to pay estate taxes when passing on wealth to your children and this is one of them. By paying your children more than you should actually be paying them, this would be counted as payroll.

Of course your children will just get charged higher payroll taxes but you would have avoided estate taxes. Other methods include gifting them money up to a certain extent every year or using a Grantor Retained Annuity Trust.

The relative price of good X is 5 units of good Y. It follows that the absolute price of good X can be ______________ and the absolute price of good Y can be ___________.

Answers

Answer:

$40,000 and $8,000

Explanation:

Relative price of good X is 5 units of good Y. The absolute value of good X is $40,000. Absolute value is the original value of a good while relative value is based on price of some identical or similar good. The absolute value of good Y is $8,000.

What is meant by the term target market?

Answers

Answer:

A target market is the set of consumers that a company plans to sell to or reach with marketing activities. A target audience is the group or segment within that target market that is being served advertisements.

hope it helps.stay safe healthy and happy...

The balance of payments _________. adds up the value of all assets and liabilities of a country on a specific date. records all international transactions for a country over a period of time. determines the eligibility of countries for IMF aid.

Answers

Answer:

records all international transactions for a country over a period of time.

Explanation:

Trade can be defined as a process which typically involves the buying and selling of goods and services between a producer and the customers (consumers) at a specific period of time.

Basically, trade can be categorized into two (2) main groups and these are;

I. Import: this involves bringing in goods from a foreign country to sell in a different (domestic) country.

II. Export: it involves the sales of goods produced in a domestic country to a foreign country.

The balance of payments is a financial statement used for recording all the international transactions for a country over a specific period of time. Thus, it gives the difference in total value between the payments for goods or services into and out of a country over a specific period of time.

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