How do you evaluate log_4(1/4)?

1 Answer
Özgür Özer
Dec 29, 2015

-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

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