Exponential and Logarithmic Functions Exercises

Evaluate e^ln8.

Hint

Don't forget that the natural log is the inverse of e. So you will be left with something that rhymes with plate. Skate. Crate.

Evaluate ln^{e^lne}.

Hint

This looks fun, doesn't it? Start at the top and work your way down. First think about the lne which is lne¹.

Evaluate .

Hint

Use your calculator for this one. We give you permission.

Rewrite in sums and differences of logarithms.

Hint

You will have 2 sums and 1 difference.

Convert log₄ 41 to natural logs and then evaluate (round to nearest hundredth).

Hint

Convert this to natural logs first. Then use your calculator to evaluate.