### Home > PC > Chapter 4 > Lesson 4.1.2 > Problem4-26

4-26.

Rewrite each of the following logarithmic expressions in terms of a single log.

1. $\text{log }M + 2\text{ log }N$

Bring the $2$ up as an exponent first. Then combine the two logs into one.

$\text{log}(MN^2)$

1. $\frac { 1 } { 2 }(\text{log } P −\text{ log }Q)$

Combine the logs first into one log. Be careful with the sign.
Bring the $\frac{1}{2}$ up as an exponent for both logs.

$\text{log}\sqrt{\frac{P}{Q}}$