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vova2212 [387]
3 years ago
15

Log2(3x-1) = log2 (x+8)

Mathematics
2 answers:
lisov135 [29]3 years ago
6 0

Answer:

If you need answers for the whole assignment

Step-by-step explanation:

1. Consider 8^x-4 = 8^10

Because the (blank a) are equal , the (blank b) must also be equal.

Answer: Bases, Exponents

The solution to the equation is 14

2.What equation is equivalent to 9^(x-3)=729?

Answer 3^x - 3 = 3^6

Solve: 9x - 3 = 729

Answer: x = 6

3. To solve 5(2^x+4)=15, first divide each side by

Answer: 5

Solve 5(2^x+4) = 15. Round to the nearest thousandth.

Answer: -2.415

4. Which of the following is the solution of 5e^2x- 4 = 11?

Answer: x=In3/2

5. Select all of the potential solution(s) of the equation 2log5x = log54.

Answer: 2,-2

What is the solution to 2log5x = log54?

Answer: 2

6. Which equation is equivalent to log5x3 - logx2 = 2?

Answer: 10^log5^3/x^2=10^2

Solve: log5x3 - logx2 = 2

Answer: 20

7. What is the solution to ln (x2 - 16) = 0?

Answer: x=+-(17)

8. Solve: ln 2x + ln 2 = 0

Answer: ¼

Solve: e^ 2x+5 = 4

Answer: x=(In4) - 5/2

9. Consider the equation log(3x - 1) = log2(8). Explain why 3x - 1 is not equal to Describe the steps you would take to solve the equation, and state what 3x - 1 is equal to.

Answer: The bases are not the same, so you cannot set 3x - 1 equal to 8.You can evaluate the logarithm on the right side of the equation to get .You can use the definition of a logarithm to write 3x - 1 = 1000.

10. An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.

Answer: 8

Keith_Richards [23]3 years ago
4 0

Answer:

X= 9/2  

Alternative form

x=4 1/2, x=4.5

Step-by-step explanation:

*= Multiply

1. log (little 10 under) (2)*(3x-1)= log (little 10 under) (2)*(x+8)

2. then divide both side by log (little 10 under (2))

3. 3x-1=x+8

4. move variable to the left side and change its sign

5. 3x-x-1=8

6. then move constant to the right side and change its sign

7. 3x-x=8+1

8. collect like terms

9. 2x=8+1

10. add 8+1

11. 2x=9

12. then divide both sides by 2

13. 2/2 9/2

14. 2/2 cancels out so x=9/2 is the answer

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Verdich [7]
The answers B !!!!!!!
3 0
2 years ago
WHOEVER GETS THIS RIGHT IN 3 MINUTES GETS THE BRAINLIEST!! Four times the sum of a number and 15 is at least 120. Let x represen
larisa [96]

Hey there!

Let's call this "number" x. We want four times the sum of this number and 15 to equal at least 120.

Therefore, we want this number times four plus fifteen to be greater than or equal to 120. We have:

4(x+15)\geq 120

Distribute:

4x + 60 \geq 120

Subtract:

4x\geq 60

Divide:

x\geq 15

Your answer is C.

Hope this helps!

7 0
3 years ago
The CD cost $16.50 before tax what is the total cost after a 7% sales tax is added
Black_prince [1.1K]

Answer: 17.65

Step-by-step explanation:

You turn 7% into a decimal or 0.07 then you multiply it by 16.50 you get 1.15 then you add it then you get 17.65.

8 0
3 years ago
Each circle below represents 1 cup of granola. Cody has 8 equal shares of granola. The shaded part of the fraction model represe
umka2103 [35]

Answer:

Step-by-step explanation:

4 0
3 years ago
SOR
pochemuha

Answer:

Bob has one more marble than Kayla.

Step-by-step explanation:

The complete question in the attached figure

Let

x -----> the number of marbles Bob has

y ----> the number of marbles Kayla has

we have

x=6\ marbles\\y=5\ marbles

we know that

To find out how many more marbles Bob has than Kayla, subtract the number of marbles Kayla has from the number of marbles Bob has

x-y

Substitute the given values

6-5=1\ marble

therefore

Bob has one more marble than Kayla.

7 0
3 years ago
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