Question

How do you simplify this expression using
properties of logarithms?

1/4 log4 16

Answer 1

Explanation:

`(1)/(4) \: log_4 16 \\ \\ = (1)/(4) \: log_4 {4}^(2) \\ \\ = (1)/(4) * 2\: log_4 {4} \\ \\ = (1)/(4) * 2\: * 1 \\ \\ = (1)/(2) \\ \\ \huge \blue{ \boxed{\therefore \: (1)/(4) \: log_4 16= (1)/(2) }}\\`