### Home > PC3 > Chapter 8 > Lesson 8.2.2 > Problem8-77

8-77.

Use the properties of logarithms to write each of the following expressions using a single logarithm.

1.  $2\log\left(m\right)-3\log\left(n\right)+\frac{1}{2}\log\left(p\right)$

$\log(m^2)- \log(n^3) + \log(p^{1/2})$

1.  $\frac { 1 } { 2 } ( \operatorname { log } ( a ) + 2 \operatorname { log } ( b ) - 3 \operatorname { log } ( c ) )$

Work inside the parentheses first to make a single logarithm. Then apply the $\frac{1}{2}$ as an exponent.