Exercises: Express Exponential Model Solutions as Logarithms

Which of the following is equivalent to $2^5 = 32$?

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

Which statement correctly describes what $\log_{10} 1000$ equals and why?

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

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

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

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

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