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HW4: Solving Equations with Logs
By Katherine Rorabaugh
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Last updated about 4 years ago
17 questions
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Instructions
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Solve each equation for x. Enter only the number. Round answers to the nearest hundredth when necessary.
To review solving equations using logs, check out this video.
There are two graphing review questions at the end.
Solve each equation for x. Enter only the number. Round answers to the nearest hundredth when necessary.
To review solving equations using logs, check out this video.
There are two graphing review questions at the end.
Question 1
1.
3^{x}=18
Question 2
2.
12^{x-3}=60
Question 3
3.
15^{3x-5}=87
Question 4
4.
4\cdot10^{x}=60
Question 5
5.
13^{x-8}-9=17
Question 6
6.
10^{2x-7}-3=57
Question 7
7.
6\cdot4^{x}-14=88
Question 8
8.
8\cdot11^{3x-9}+10=194
Review - Find the features for the function given.
f(x) = 2^{x-3}-7
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Question 10
10.
Identify the asymptote.
There should be an "=" in your answer, no spaces.
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Question 12
12.
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Review - Find the features for the function given.
f(x) = log_{\frac{1}{4}}(x+4)
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Question 14
14.
Identify the asymptote.
There should be an "=" in your answer, no spaces.
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Question 16
16.
Identify the x-intercept.
Use (x, 0) format. Round to the hundredths when necessary. If there is none, type "none".
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Question 9
9.
Classify as growth or decay.
decay
growth
Question 11
11.
Identify the x-intercept.
Use (x, 0) format. Round to the hundredths when necessary. If there is none, type "none".
Question 13
13.
Identify the y-intercept.
Use (0, y) format. Round to the hundredths when necessary. If there is none, type "none".
Question 15
15.
Question 17
17.
Identify the y-intercept.
Use (0, y) format. Round to the hundredths when necessary. If there is none, type "none".
Identify 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 -7
x\rightarrow\infty, f(x)\rightarrow \infty
x\rightarrow -\infty, f(x)\rightarrow -7
x\rightarrow\infty, f(x)\rightarrow -\infty
Identify the end behaviors.
Select two.
x\rightarrow\infty, f(x)\rightarrow \infty
x\rightarrow\infty, f(x)\rightarrow -4
x\rightarrow -4, f(x)\rightarrow -\infty
x\rightarrow -4, f(x)\rightarrow -4
x\rightarrow -4, f(x)\rightarrow \infty
x\rightarrow\infty, f(x)\rightarrow -\infty