How do you evaluate log_3(1/27)?

1 Answer
Dec 19, 2015

color(white)(xx)-3

Explanation:

color(white)(xx)log_3 (1/27)=log_3 (1/3^3)
color(white)(xxxxxxxxx)=log_3 3^-3
color(white)(xxxxxxxxx)=-3xxlog_3 3
(The logarithm of the power of a number rule)

color(white)(xxxxxxxxx)=-3xx1
color(white)(xxxxxxxxx)=-3