K12worX
Back to Exercise: Express exponential solutions as logarithms

Exercises: Express Exponential Model Solutions as Logarithms

Show all steps for each problem. For problems that require a calculator, round decimal answers to two decimal places unless otherwise stated.

Grade 9·23 problems·~30 min·Common Core Math - HS Functions·group·hsf-le-a-4
Work through problems with immediate feedback
A

Warm-Up: Review What You Know

These problems review skills from earlier lessons.

1

Which of the following is equivalent to 25=322^5 = 32?

2

To solve 5⋅3t=1355 \cdot 3^t = 135, the first step is to isolate 3t3^t. What is the result of that first step?

3

Which statement correctly describes what log⁡101000\log_{10} 1000 equals and why?

B

Fluency Practice

1

Solve 4⋅2t=644 \cdot 2^t = 64. Write tt as a logarithm and then evaluate it.

2

Solve 3⋅10t=3003 \cdot 10^t = 300. Write tt as a base-10 logarithm and evaluate. What is tt?

3

Solve 200⋅100.5t=5000200 \cdot 10^{0.5t} = 5000. Round your answer to two decimal places.

4

Solve 50⋅e0.04t=15050 \cdot e^{0.04t} = 150. Round your answer to two decimal places.

5

Solve 12⋅2t/3=19212 \cdot 2^{t/3} = 192. Round your answer to two decimal places if needed.

You're viewing 2 of 6 sections.

Create a free account to continue the full exercise set and save your progress.

Create free account
0 of 8 answered

Answer all problems to submit.

Was this practice set helpful?
Report a problem with this page