Question

How do you evaluate `log_4(1/4)`?

Answer 1

`-1`

Explanation:

The logarithm of the p-th power of a number is p times the logarithm of the number itself:

`color(white)xxlog_4 (1/4)=log_4 (4^-1)`
`color(white)(xxxxxxxx)=color(red)(-1)xxlog_4 4`
`color(white)(xxxxxxxx)=-1`

graph{logx/log4 [-10, 10, -5, 5]}
Graph of `log_4 x`