### Home > PC > Chapter 11 > Lesson 11.1.2 > Problem11-28

11-28.

Example: Evaluate without the aid of a calculator: $e^{3 \ln 7}$.
Solution: $e^{3 \ln 7} = \left(e^{\ln 7}\right)^{3} = 7^{3} = 343$.

Use this idea to solve the following problems.

1. $e^{3 \ln x}$

$(\textit{e}^{\ln{\textit{x}}})^3$

1. $\ln e^{5x}$

$5x \ln e$

1. $\log\sqrt { 10 ^ { x } }$

$\log(10^x)^{1/2}$

1. $10^{(3+ \log x)}$

$10^3 10^{\log{\textit{x}}}$