AnswersFL-1200330-Algebra 2 CRSolving Exponential and Logarithmic Equations

Solving Exponential and Logarithmic Equations Answers

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1
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Because the ✔ basesexponentsequationsvariables are equal

Answers:
are equal:bases
must also be equal.:exponents
2
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, the bases✔ exponentsequationsvariables must also be equal.

A
bases
B
✔ exponents
C
equations
D
variables
3

The solution to the equation is x = .

Answer:

5

4

What equation is equivalent to 9x - 3 = 729?

A
9x - 3 = 981
B
9x - 3 = 93
C
3x - 3 = 36
D
32x - 3 = 36
5

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

Answer:

5

6

Which of the following is the solution of 5e2x - 4 = 11?

A
x = ln 3
B
x = ln 27
C
mc001-1.jpg
Option C
D
mc001-2.jpg
Option D
7

Question text not available

Answer not available
8

Which equation is equivalent to log5x3 - logx2 = 2?

A
Option
Option A
B
Option
Option B
C
Option
Option C
9

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

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
10

Solve: ln 2x + ln 2 = 0x = ⇒ 1/4

Answer:

1/4

11

Consider the equation log(3x - 1) = log28. Explain why 3x - 1 is not equal to 8. Describe the steps you would take to solve the equation, and state what 3x - 1 is equal to.

Answer:

In the equation log(3x - 1) = log2(8), 3x - 1 is not equal to 8 because the logarithms have different bases; the left side is the common logarithm (base 10) while the right side is base 2. To solve the equation, first simplify the right side: log2(8) = 3 because 2 to the third power is 8. This results in the equation log(3x - 1) = 3. Next, rewrite the logarithmic equation in exponential form using base 10: 3x - 1 = 10^3. Therefore, 3x - 1 is equal to 1000. To find x, add 1 to both sides and divide by 3 (x = 1001/3).

12

Which did you include in your answer?

A
The bases are not the same, so you cannot set 3x - 1 equal to 8.
B
You can evaluate the logarithm on the right side of the equation to get 3.
C
You can use the definition of a logarithm to write 3x - 1 = 1000.
13

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e0.05t = 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. years

Answer:

8

14

Question text not available

Answers:
are equal:bases
must also be equal.:exponents
15

Solve: 9x - 3 = 729x = ⇒ 6

Answer:

C

16

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

Question illustration
Answer:

-2.415

17

Question text not available

Answer not available
18

Solve: log5x3 - logx2 = 2 x =

Answer:

20

19

Solve: e2x + 5 = 4

A
Option
Option A
B
Option
Option B
C
Option
Option C

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