Question

In the following exercises, use the properties of logarithms to evaluate.
(a)$e^{\ln 8}$

(b)$\ln e^5$

Short answer

The solution is-

(a) $8$
(b)$5$

Step-by-step solution

Step 1. Solving for part (a)

We have $e^{\ln 8}$.

We will evaluate this using the property, $e^{\ln x}=x$. So,

$e^{\ln 8}=8$

Step 2. Solving for part (b)

We have $\ln e^5$.

We will evaluate this using the property, $\ln e^x=x$. So,

$\ln e^5=5$.