### Home > A2C > Chapter 13 > Lesson 13.1.4 > Problem13-84

13-84.

Without using a calculator, simplify and evaluate each of the following log expressions. Your result should be an expression without logarithms.

1. $\operatorname{log}\left(4\right) + \operatorname{log}\left(25\right)$

$\operatorname{log}\left(4 · 25\right)$

$2$

1. $\frac { 7 ^ { \operatorname { log } _ { 7 } ( 3 ) } } { \operatorname { log } _ { 5 } 5 ^ { 4 } }$

Use properties of logarithms
and exponents to simplify.