Logarithmic and Exponential Functions Self Quiz

1. Compute:

            a. log₆ 216

            b.

2. Solve for x:

3. Write as a single logarithm:

4. Solve for x: 2^3x+1=5^x+6

5. Write as a single exponential expression:

6. What is the y-intercept of the graph of f(x)=4^x ?

7. Given that log 2=.301 and log 5=.699, find

            a. log 8

            b. log 20

            c. log .2

8. What is the y-intercept of the graph of g(x)=log₅x ? The x-intercept of the
graph?

9. Which is larger, log₁₀5 or ln 5? Why?

10. The population of a colony of bacteria doubles every 5 hours. If 1000 bacteria
are present initially, how many bacteria does the colony contain after 2 days?

Solutions