find the value of x in the following..... 3^x = 8​

Answers

Answer 1
Find logarithm of both sides

log (3^x) = log 8

xlog3 = log8

x = log8/log3

x = 1.893
Answer 2

Answer:

x ≈ 1.893 ( to 3 dec. places )

Step-by-step explanation:

Using the rule of logarithms

log [tex]x^{n}[/tex] = n logx

Given

[tex]3^{x}[/tex] = 8 ( take the log of both sides )

log[tex]3^{x}[/tex] = log8, that is

xlog3 = log8 ( divide both sides by log3 )

x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893


Related Questions

A carpenter leans an extension ladder against a house to reach the bottom of a window 30 feet
above the ground. As shown in the diagram below, the ladder makes a 70° angle with the ground.
To the nearest foot, determine and state the length of the ladder.​

Answers

Answer:The answer will be 35ft

Step-by-step explanation:

One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.

Which function has the same range as f(x)=-2√x-3+8?

Answers

Answer:

[tex]g(x)=-\sqrt{x+3}+8[/tex]

Step-by-step explanation:

got it right

g(x) = - √x + 3 +8 has the same range.

What is the range of a function simple?

The variety of a feature is described as a set of solutions to the equation for a given input. In different words, the range is the output or y fee of a characteristic. There is the most effective range for a given function.

What is range in a relation?

The set which contains all the first elements of all the ordered pairs of relation R is known as the domain of the relation.

Learn more about the range of a function here: https://brainly.com/question/24137224

#SPJ2

Identifying Characteristics Determine the statements that characterize cylinders and cones. Check all that apply. Cylinders have two circular bases. Cones have one circular base. The lateral area of a cylinder is a triangle. The lateral area of a cone is a rectangle. The lateral area of a cylinder is related to circumference of the circular bases.

Answers

Answer:

a,b, and e

Step-by-step explanation:

i did the lesson on edge2020

Marrisa sold a total of 18,200 worth of clothing last week at her store.If her commision is 4% of sales,how much commisssion did she earn?

Answers

Answer:

She would earn 728 $ in commission

Step-by-step explanation:

What is the solution to
2x-y=1
Зу + 3 = 6x
Using system of equations

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

Reduce the second equation by dividing all three terms by 3:  y + 1 = 2x.  Then compare this result to the first equation 2x - y = 1.  Noe that these two equations are identical.  Thus, the two lines coincide.  There are "infinitely many solutions."

Can you please help with think im pointing on please is so hard i will give you a Brainiest

Answers

Answer:

40

Step-by-step explanation:

You need to take 30%of 40 to figure it out.

Hope this helps.

.- Alicia tiene una finca de 1 km2 de superficie. Dedica 28 hm2 a cultivar trigo, 3.900 dam2 a plantar olivos y el resto lo ha plantado de girasoles.¿ Cuántos metros cuadrados ocupan los girasoles?

Answers

Answer:

330 000 m²

Step-by-step explanation:

1. Area of farm

[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]

2. Area for wheat

[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]

3.Area for olive trees

[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]

4. Area for sunflowers

Total area                  =                          1 000 000 m²

- Area for wheat        = 280 000 m²

- Area for olive trees = 390 000                                  

                                                                 670 000      

Area for sunflowers =                              330 000 m²

Sunflowers occupy 330 000 m².

1).He gastado 5/8 de mi dinero. Si en lugar de gastar los 5/8 hubiera gastado los 2/5 de mi dinero, tendria ahora 72 soles mas de lo que tengo¿cuanto NO gaste? 2). Si al año que cumpli 10 años le sumamos el año que cumpli 20 , y a este resultado le restas la suma del año en que naci con mi edad actual , obtendremos el año actual ¿cuanto resultara sumar mi edad con el año en que cumplire los 30 años y restarle el año en que cumplire los 40 años? AYUDA CON PROCEDIMIENTO PARA ESTOS DOS EJERCICIOS POR FAVOR

Answers

Answer:

1. The amount that was not spent is: 1080 soles

2. The answer is 5.

Step-by-step explanation:

Question 1. There are two situations:

If you spent 5/8 of the money then notice, that u did not spend 3/8.

If you spend 2/5 of the money, then you would have 72 more.

So think, this equation:

3/8x + 72 = 2/5x

2/5 of the money is the value for what you did not spend plus 72, the amount you would have, where x is the answer for the total of money.

72 = 2/5x - 3/8x

72 = 1/40x

x = 2880 soles

As you did not spend 3/8 of 2880, the answer is 1080 soles

Notice that if u spent 2/5 of 2880, you would have 1152 soles, so, the 1080 + 72, as the problem said.

Question 2.

We think letters for this excersise.

N = My born year

2020 (this year) - N = E (my age, now)

So N + 10 = when I get 10 years old

N + 20 = when I get 20 years old

N + 30 = when I get 30 years old

N + 40 = when I get 40 years old

The problem says:

(N+10) + (N+20) - (N+E) = 2020

((N+30)+E) - (N-40) = X  

So if 2020 - N = E, then notice that 2020 - E = N. Let's replace this in the equation form:

((2020-E)+10) + ((2020-E)+20) - ((2020-E)+E) = 2020

No minus in the first two terms, so we can break the ( )

2020-E+10 + 2020-E+20 - ((2020-E)+E) = 2020

We apply the distributive property for the second term

2020-E+10 + 2020-E+20 - 2020+E-E = 2020

We can cancel two E, and the 2020, so the new form will be:

2020 - 2E + 30 = 2020

We can also cancel the 2020, so if we reorder the equation, we have:

-2E = -30

E = 15 That's my age, so my born's year is 2020 - 15 = 2005 (N)

Look:

(2005 + 10) + (2005+20) - (2005+15) = 2020

So now, the last part

((2005+30)+15) - (2005+40) = 5

Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F.

Answers

Answer: it will take 5 hours to reach -1 °F.

Step-by-step explanation:

The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence(the starting point)

d represents the common difference.

n = x = the number of terms in the sequence(number of hours)

From the information given,

a = 0(at 1 pm, number of hours is 0)

d = - 4 degrees (it is decreasing)

Tn = -1 °F.

We want to determine the number of hours, x when Tn = -1 °F

Therefore,

- 1 = 0 + (x - 1)- 4

- 1 = - x + 4

x = 4 + 1

x = 5 hours

Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x

Answers

Answer:

2.8-5.4

Step-by-step explanation:

4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right

mark has a friend named Chole how different are marks and chole DNA ?

Answers

Answer:

xx vrs. xy chromosomes in their genetics

Zachary and Heather are measuring the growth of a plant for a science experiment. They stopped recording the growth after week 6. Which of the following could be a reasonable estimate for the value of the plant height at week 10?

35 inches


47 inches


50 inches


43 inches

will mark brainliest

Answers

Answer:

43, it raises by 4 each time. good luck!

Step-by-step explanation:

If you are good at 9th grade math tell me and send me your number so we can text I really need a tutor or just help please

Answers

Answer:

I'm super sorry that i can't help but if i could get you to my brother and ask him for his number i bet he'll be able to help. ;) and if u r a girl he's pretty desperate for a girlfriend so ..... yeah

Step-by-step explanation:

hope this helps and also hope my brother can help byyyyyeeeee

I’m also in 9th grade and need help

the rational number of 2 x -7/4​

Answers

The rational number in this equation is 2

Hi so i am writing a movie but i need ideas

Answers

A coming of age story about two childhood best friends who grow apart
You can write about many interesting things. For example, you can write about your life or make up characters.

I hope this helps you!!!!

What is the value of the expression below ? 2[32-(4-1)]

There is a 3 in between the ) 3 ] but it looks like square / cubes something

Answers

The value of the expression [tex]2[32-(4-1)][/tex] is [tex]58[/tex] by simplifying.

Simplification

Simplification is the process of replacing a mathematical expression with an equivalent one, that is simpler and usually shorter.

How to simplify an algebraic expression?

Apply the BODMAS rule to simplify the algebraic expression.

Given that the expression is [tex]2[32-(4-1)][/tex]

First, simplify the bracket [tex](4-1)[/tex]

Then, [tex]2[32-(4-1)]=2[32-3][/tex]

Simplify the bracket [tex][32-3][/tex]

Then, [tex]2[32-3]=2[/tex] × [tex]29[/tex]

Multiply the numbers [tex]2[/tex] and [tex]29[/tex]

[tex]2[/tex] × [tex]29=58[/tex]

Hence, the expression [tex]2[32-(4-1)][/tex] is simplified to [tex]58[/tex].

Learn more about simplification here-https://brainly.com/question/17579585

#SPJ2

In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.

Answers

Answer:

6:5

Step-by-step explanation

boys : girls

= 18 : 15

Now time to simplify:

18/3: 15/3

= 6:5

Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?

Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20

Answers

The total finance charge over the course of his loan is $2071.20.

It is required to find the total finance charge.

What is simple & compound interest?

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.

Given that:

Loan= $15,000

The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.

The sum of those 48 payments is ...

=48 × $23.71 =

 =$1138.08

That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.

so his total finance charge will be

= 15 × $138.08

= $2071.20

Therefore, the total finance charge over the course of his loan is $2071.20.

Learn more about simple & compound interest here:

https://brainly.com/question/16666364

#SPJ5

Answer:

D.

$2,071.20

Step-by-step explanation:

tan(-20°) = _____. -tan 20° tan 20° tan (-160°) -tan 160°

Answers

Answer:

-tan 20

Step-by-step explanation:

They have the same answer when typed in a calculator

What was the percentage decrease in the number of accidents between 1950 and 1976?

Answers

Answer:

the percentage decrease in the number of accidents between 1950 and 1976 is (25.9)

[tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]
Show all work

Answers

Answer:

Step-by-step explanation:

[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]

[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]

[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]

[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]

[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]

[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]

[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]

x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]

x =  [tex]\sqrt[3]{8^{5}}[/tex] -2

What is the equation of 4over 3 equal Y

Answers

Answer:

3y = 4 or 3y - 4 =0

Step-by-step explanation:

[tex] \frac{4}{3} = y \\ 4 = 3y \\ 3y - 4 = 0 \\ [/tex]

Quadrilateral ABCD​ is inscribed in this circle.




What is the measure of angle C?
Please Help!!!

Answers

Answer:

C=62 maybe

Step-by-step explanation:

3x=x+20

-x    -x

2x=20

divide by 2

x=10

2*10=20+38=58

10+20=30

3*10=30

30+30=60+58=118

180-118=62

Ronny is selling coffee mugs for $3.00. So far, he has earned $228.00. Ronny needs to earn more than $372.00 in order to meet his sales goal. How many more coffee mugs, x, does Ronny need to sell in order to reach his sales goal?

Answers

Answer:

He needs to sell at least 49 mugs.

Step-by-step explanation:

Since Ronny earned $228 and needs to earn more than $372, he needs to earn more than 372-228 = 144.

Since he sells a mug for $3 and needs more than $144, his earning must be greater than 144:

→ 3x > 144, x represents the number of coffee mugs

→ x > 48

→ x must be at least 49

Solve using elimination.
- 8x + 2y = -20
8x - 5y = 14

Answers

Answer:

x = 3, y = 2

Step-by-step explanation:

~ Through process of elimination ~

1.         - 8x + 2y = -20      

        +   8x - 5y = 14

2. Simplify to solve for y through simple algebra:

          2y - 5y = -20 + 14 ⇒ - 3y = - 6 ⇒ y = 2

3. Now substitute this value of y into the to equation - 8x + 2y = -20 to get x:

- 8x + 2 ( 2 ) = -20  ⇒

    -8x + 4 = -20 ⇒

       -8x = -24 ⇒

           x = 3

Find the area of a rectangle with the given base and height 9ft , 3in

Answers

Answer:

324 in^2

Step-by-step explanation:

If you transfer the 9 ft to inches you get 108 in

108x3=324

Answer:

21

Step-by-step explanation: 9 + 9 = 18 , 3 + 3 = 6 , 18 + 6 = 21.

A fair die is thrown. What is the probability that the score is not a factor of 6?
0000
5/6
1/6
2/3
1/2

Answers

Answer:

[tex]\frac{1}{3}[/tex] chance.

Step-by-step explanation:

The only factors of 6 on a die is 1, 2, 3, and 6

The chance of getting 4 or 5 (not factors of 6) is [tex]\frac{2}{6} =\frac{1}{3}[/tex] chance.

(None of the options you gave is correct)

The probability of getting numbers which is not a factor of 6.

                          [tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]

To understand more, check below explanation.

Probability :

The numbers on die which is factors of 6 is,

                               1,2,3,6

So that, numbers on die which is not factor of 6 is, 4 and 5.

We have to find probability that  the score is not a factor of 6.

Total number of favorable outcomes = 2

Total outcomes = 6

Probability that  the score is not a factor of 6,

                          [tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]

Learn more about the probability here:

https://brainly.com/question/24756209

type an equation for the line shown in the graph

Answers

0x+2 =y
So technically x+2=y

The triangle has side lengths 7, 10, and 12. Is it a right triangle? Explain your reasoning.

Answers

Answer: it is not a right triangle

12^2=7^2+10^2

144=49+100

144=149

To prove this we try the pitagor teorem which the largest side is the hypotenuse

It is not a right triangle.

We have given that,

The triangle has side lengths 7, 10, and 12.

What is the Pythagoraus theorem?

[tex]hypotenous^2=side^2+side^2[/tex]

12^2=7^2+10^2

144=49+100

144=149

The pitagor theorem which the largest side is the hypotenuse.

To learn more about the triangle visit:

https://brainly.com/question/2217700

#SPJ2

Mr. Tuyen uses 3 4 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 3 weeks? Enter your answer as a fraction and as a mixed number.

Answers

Answer:

[tex]\frac{9}{4}[/tex] or [tex]2\frac{1}{4}[/tex]

Step-by-step explanation:

If Mr. Tuyen used 3/4 of a tank in a week, then in three weeks, he would use that same amount times three.

So:  [tex]\frac{3}{4}[/tex] x 3 = [tex]\frac{9}{4}[/tex]

Hope this helps :)

Other Questions
On a sky coaster (human pendulum) that reaches 20 meters from it's equilibrium position, a man of 70 kg is able to reach a maximum speed of Help me on this bc I dont know the answer And u know this mannnnn In the 1st century, what problems did Christians experience? How did the perception of Christianity change around the 4th century? in a titration 20.0 mL of 0.150 M NaOH(aq) Solution exactly neutralize is 24.0 mL of an HCl solution what is the concentration of the HCl solution A person jumps out a fourth-story window 14 m above a firefighter safety net. The survivor stretches the net 1.8 m before coming to rest. what was the deceleration experienced by the survivor? Use g = 9.8 m/s2 Calculate to one decimal. How can an author reveal more information about a character?OA. By explaining what events in the story are trueOB. By asking the reader to use preexisting knowledgeOC. By withholding information about the characterOD. By describing objects that are important to the character what do you think the pledge tells us about what it means to be an american? Which of these showed the changing culture at the beginning of the 20thcentury?A. The invention of labor-saving machinesB. More people moving to farmsc. More children working in factoriesD. Open-minded immigration policies the rational number of 2 x -7/4 Finish answering the box please The blood disorder in which the blood doesn't clot properly is known as-HemophiliaErythemiaColor blindness CSUSM is a zero growth company. It currently has zero debt and its earnings before interest and taxes (EBIT) are $85,000. CSUSM 's current cost of equity is 11%, and its tax rate is 21%. The firm has 15,000 shares of common stock outstanding. Assume that CSUSM is considering changing from its original capital structure to a new capital structure with 39% debt and 61% equity. This results in a weighted average cost of capital equal to 8.7% and a new value of operations of $576,345. Assume CSUSM raises $165,000 in new debt and purchases T-bills to hold until it makes the stock repurchase. What is the stock price per share immediately after issuing the debt but prior to the repurchase? type an equation for the line shown in the graph what did most delegates from southern states believe about slaverya: they wanted each slave to count as three-fifths of a person.b: they didn't want slaves to count toward a state's population.c: they wanted all slaves to counts towards a state's population.d: They wanted slavery to be outlawed and current slaves to be freed. The predetermined overhead rate for Zane Company is $5, comprised of a variable overhead rate of $3 and a fixed rate of $2. The amount of budgeted overhead costs at normal capacity of $150000 was divided by normal capacity of 30000 direct labor hours, to arrive at the predetermined overhead rate of $5. Actual overhead for June was $9500 variable and $6050 fixed, and standard hours allowed for the product produced in June was 3000 hours. The total overhead variance is What is the equation of 4over 3 equal Y Which function has the same range as f(x)=-2x-3+8? What was the percentage decrease in the number of accidents between 1950 and 1976? Which nutrient serves as a major source of energy? What is the value of the expression below ? 2[32-(4-1)] There is a 3 in between the ) 3 ] but it looks like square / cubes something