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!!! P7.2: Logs

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Last updated almost 4 years ago
16 questions
Note from the author:
For a review on logarithms, see this video.
For a review on evaluating logs, see this video.
For a review on logarithms, see this video.
For a review on evaluating logs, see this video.
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Question 1
1.

Which of the following is an equivalent equation to the equation below?

log_{2}(y)=7

Question 2
2.

Write the equivalent exponential equation to the logarithmic equation below.

log_{8}(64)=x

Do not include spaces in your answer.

Question 3
3.

Write the equivalent logarithmic equation to the exponential equation given below.

4^{a}=256

Question 4
4.

Evaluate the logarithm. Round answers to the nearest tenth when necessary.

log_{6}(36)

Question 5
5.

Evaluate the logarithm. Round answers to the nearest tenth when necessary.

log_{2}(32)

Question 6
6.

Evaluate the logarithm. Round answers to the nearest tenth when necessary.

log_{100}(10)

Question 7
7.

Evaluate the logarithm. Round answers to the nearest tenth when necessary.

log_{2}(\frac{1}{16})

Question 8
8.

Evaluate the logarithm. Round answers to the nearest tenth when necessary.

log_{18}(1)

Question 9
9.

Evaluate the logarithm. Round answers to the nearest tenth when necessary.

log_{243}(27)

Question 10
10.

Evaluate the logarithm. Round answers to the nearest tenth when necessary.

log_{2}(260)

Question 11
11.

Evaluate the logarithm. Round answers to the nearest tenth when necessary.

log_{5}(38)

Review from HW1.
Find the features of the function.

f(x) = 3\cdot(\frac{3}{4})^{x+2}-5


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Question 13
13.

What is the y-intercept of f(x)?

Use (0, y) format. Round decimals to the nearest hundredth.

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Question 14
14.

What is the x-intercept of f(x)?

Use (x, 0) format. Round decimals to the nearest hundredth.

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Question 12
12.

Classify f(x) as growth or decay.

Question 15
15.

What is the asymptote?

There should be an = in your answer, no spaces.

Question 16
16.

What are the end behaviors? (select two)