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!!! P7.2: Logs
By Katherine Rorabaugh
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Last updated about 4 years ago
16 questions
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Note from the author:
Instructions
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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.
Question 1
1.
Which of the following is an equivalent equation to the equation below?
log_{2}(y)=7
y^{2}=7
2^{y}=7
2^{7}=y
7^{2}=y
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
log_{4}(a)=256
log_{a}(4)=256
log_{4}(256)=a
log_{a}(256)=4
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.
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Question 12
12.
Classify f(x) as growth or decay.
growth
decay
What is the x-intercept of f(x)?
Use (x, 0) format. Round decimals to the nearest hundredth.
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)
x \rightarrow \infty, f(x) \rightarrow \infty
x \rightarrow -\infty, f(x) \rightarrow \infty
x \rightarrow \infty, f(x) \rightarrow -5
x \rightarrow \infty, f(x) \rightarrow -\infty
x \rightarrow -\infty, f(x) \rightarrow -\infty
x \rightarrow -\infty, f(x) \rightarrow -5