Solve for x by writing the equation in exponential form.
log7(2x + 17) = 2
Answers
Given :-
log 7( 2x +17) = 2 .To Find :-
The value of x .Solution :-
Given logarithmic equation is ,
[tex]\longrightarrow log_7(2x +17) = 2 [/tex]
As we know that ,
[tex]\longrightarrow log_a b = c [/tex]
can be rewritten as ,
[tex]\longrightarrow a^c = b [/tex]
So , that
[tex]\longrightarrow 7^2 = 2x + 17 [/tex]
Simplify ,
[tex]\longrightarrow 49 = 2x + 17 [/tex]
Subtract 17 from both sides ,
[tex]\longrightarrow 2x = 32 [/tex]
Divide both sides by 2 ,
[tex]\longrightarrow x = 16 [/tex]
Hence the required answer is 16 .
Refer to the attachment!
Related Questions
In right triangle EAD with right angle at A, AE=4 units, AB=BC=CD and the area of triangle ABE=6 sq units. What is the length of segment CE? Express your answer as a decimal to the nearest tenth.
Answers
Answer:
CE = 7.2
Step-by-step explanation:
Area = 1/2bh
6 = 1/2 (b)(4)
6 = 2b
3 = b b represent AB, so BC and CD is 3 unit also
Length of CE , you have a right triangle with a leg(AE) = 4 and and the other leg (AC) = 6 and the hypotenuse (CE) = x
The figure is a right triangle so you know that a² + b² = c²
4² + 6² = x²
16 + 36 = x²
52 = x²
[tex]\sqrt{52 }[/tex] = x
7.211 ≈ 7.2 = CE
70=x+16? Show how to do
Answers
A car travels at an average speed of 56 miles per hour how many miles does it travel in 5hrs and 30min
Answers
Answer:
308 miles
Step-by-step explanation:
speed * time = distance
56 * 5.5 = 308
308 miles
Where do I put the parenthesis to make it true?
5 – 6w – 5 – 95 + 2w = –48w – 70
Answers
Answer:
i just stole your points thank you
Step-by-step explanation:
5 – 6w – 5 – 95 + 2w = –48w – 70
-6w + 2w + 48w = -70 -5 + 5 +95
44w = 25
w=25/44
If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability that the card you select is not a spade.
A. Write your answer as a simplified fraction.
B. Write your answer as a decimal, rounded to the nearest thousandth.
C. Write your answer as a percent. Round to the nearest tenth of a percent and don't forget to include a percent sign, %, in your answer.
Answers
Answer:
a. 1/13
b. 0.077
c. 7.7
Step-by-step explanation:
a. there are 4 of the 6 in a deck of cards so the probability of taking this cards from the deck of 52 cards is 4/52. Given you 1/13.
Greg received 3/8 of the votes cast for class secrectary. How many votes did he receive
Write your answer in simplest form
( show me how you got your answer like an explanation please Thanks! :)
Answers
Answer: 3/8
Step-by-step explanation: We don't know how many votes are there for the class secretary.
Fred earns $45 mowing the lawn. He spends $5 on music and puts half of what's left in a savings account. He then gets another $5 for washing his neighbor's car.
First, write the expression that represents the number of dollars Fred keeps (and does not put in his savings account), and then simplify.
Answers
The total amount that Fred keeps (and does not put in his savings account) is $20
Total earnings of Fred = $45
Amount spent on music = $5
Amount remaining after spending on music = $40
Fred puts half of what's left in a savings account.
Total amount put in the savings account = 40/2
Total amount put in the savings account = $20
The total amount that Fred keeps (and does not put in his savings account) is $20
Learn more here: https://brainly.com/question/25698362
Given: D is the midpoint of AC, ED = FD, and angle EDA = angle FDC
Prove that: Triangle AED = Triangle CFD
Answers
Answer:
Step-by-step explanation:
Side-Angle-Side postulate (SAS)
There are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
As per the given question,
D is the midpoint of AC, ED = FD, and angle EDA = angle FDC
In ΔAED and ΔCFD,
Side DE = Side DF
m∠EDA = m∠FDC
Side AE= Side FC
According to SAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
Thus, both triangles are congruent.
Hence, there are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.
Learn more about congruent triangles here:
brainly.com/question/4364353
#SPJ2
Write 5/6% as a decimal number.
Answers
Answer: 5/6 as a decimal is 0.833
Step-by-step explanation:
just divide 5 by 6
5. En el banco, Brent cambia $50 en billetes por
50 monedas de un dólar. La masa total de las
monedas pesa 405 gramos. Estima la masa de
1 moneda de un dólar.
Answers
Answer:
8.1 g
Step-by-step explanation:
405 g ÷ 50 = 405 ÷ (100/2) = 405 × 2/100 = 810/100 = 8.1
8.1 g
78 divided by 21?:-:
Answers
Answer:
3.7 or 3.71428571429
Step-by-step explanation:
:/
Answer:
3.714
Step-by-step explanation:
78/21 is 3.71428571429 but you can round that to 3.714
Solve.
−3 2/3x = −2 1/5
Answers
Answer:
1 2/3
Step-by-step explanation:
You divide -3 2/3x to -2 1/5 and you will get 1 2/3
(-1/9) ÷ 6/7 =
Help
Me
Pls
:)
Answers
Answer:
I believe your answer is -7/54
Answer: -0.129
Step-by-step explanation:
4х = 32
А. x= 9
В. x= 8
с. x= 28
D. х = 128
Answers
Answer:
B
Step-by-step explanation:
Step 1: Divide both sides by 4.
4x/4 = 32/4
4x/4 leaves you with x by itself, and 32/4 is 8. So x = 8
Up arrow, right arrow, down arrow, left arrow, up arrow, right arrow, down arrow, left arrow. What's the conjecture
Answers
Answer:
The correct option is;
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).
Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give
Step-by-step explanation:
We have that for reflection across the x-axis, (x, y) → (x, -y)
For reflection across the y-axis, (x, y) → (-x, y)
Therefore, given that the pre-image before the reflection across the y-axis is (x, -y), we have;
For reflection across the y-axis, (x, -y) → (-x, -y)
For reflection across the line, y = x, gives (x, y) → (y, x) which is not the same as (-x, -y)
Who ever solve this first I will give Brainliest to them
Answers
Answer:
9
Step-by-step explanation:
In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, then adding 79 and 10 and subsequently subtracting 72 and 8 to get 9 should make sense
If the simple interest on $2000 for 3 years is $300, then what is the interest rate?
Answers
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$300\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &3 \end{cases} \\\\\\ 300=(2000)(r)(3)\implies 300=6000r\implies \cfrac{300}{6000}=r \\\\\\ \cfrac{1}{20}=r\implies 0.05=r\implies \stackrel{\textit{converting to percent}}{100\cdot 0.05}\implies \stackrel{\%}{5}=r[/tex]
I neeed help pllllzzz question 1
Answers
Answer:
The third tree
Step-by-step explanation:
The first one is growing at a rate of 3.5
The second one is growing at a rate of 2.5
The third one is growing at a rate of 2
I hope this helps!!
If AZ = 85 ZE=51 find Bc
Answers
85^2-51^2
=4624
Then we square root that to get…
68
BUT the answer is saying from b to c so we would have to multiply it by 2 to get…
136
A sample in which each element in a population has a equal chance of being selected
Answers
Answer:
simple random sample
Step-by-step explanation:
I hope that's it
solve for x! please help giving BRAINLIEST.
Answers
Answer:
its 45
Step-by-step explanation:
tom drives a truck his regular trip is a distance of 280km.he drives at an average speed of 80km/h.for saftey reason his boss puts a speed limit on his trucktoms average speed by 10km/h
how much longer will it takes tom to drive this regular trip
Answers
Answer:
Step-by-step explanation:
280 / (80 - 10) - 280 / 80 = 0.5 hr longer
what is the volume of the cone if the volume of the cylinder is 51L.
Answers
Answer:
17L
Step-by-step explanation:
Volume of cone = 1/3(Volume of cylinder )
= 1/3 * 51L
= 17L
in what value of b makes y= 2x + b the same as y= 2x what does that value mean
Answers
Answer:
B = 0
Step-by-step explanation:
If you have y = 2x + b and are trying to get to y = 2x
Then just remove the B itself meaning it's value would be 0 so it is as if that variable was never in the actual equation.
Basing ourselves off of the formula "y = mx + b"
B = 0 would mean that the y-intercept of the line is 0
Answer:
0
Step-by-step explanation:
if y=2x and y=2x+b is the same then b must be 0.
7,433,654 rounded to the nearest 100
Answers
Part of a city map is shown. If m 5 = x, which angles also have a measure of x? Select all that apply.
A 1
B 4
C 9
D 12
Thanks!!!
Answers
Answer:
C 9
D 12
Step-by-step explanation:
9 is a corresponding angle to 5 and 12 is an opposite angle to 9
Also by convention, grid lines are at right angles to each other so 5, 6, 7, 8, 9, 10, 11, and 12 are all equal at x = 90°
PLEASE HELP IT IS DUE RIGHT NOW!!!
WILL MARK BRAINLIEST!!!!!
Answers
Answer:
(-2,-5)
Step-by-step explanation:
given the quadratic function, find the x value of the vertex of y=x2=4x-8
Answers
Answer:
27x^2−9y^2=81
Two students are working on the same homework assignment. Antonia has completed 18 out of 45 questions. Oliver has completed 20% of the questions. Which student has completed the most questions, and why?
Answers
Answer: Your anwser who has the most completed it would be the person with 18 questions anwsered out of 45
Step-by-step explanation:
The reason of this is becuase 20 percent of 45 if 9 and thats 9 questions out of 45 so 18 questions out of 45 is more
please mark brainliest thank you
Mr. Martin drove away from his house without his wallet. He did a 180. Where is he heading now?
Answers
Martin is heading to his house
