How do you evaluate $log_(1/3) (1/81)$ ?

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Answer 1 · 2016-09-12T01:22:02

$4$

recall that $log_2(8)=3, => 2^3=8$

Let $log_(1/3)(1/81)=a$

$(1/3)^a=1/81$

$(1/(3^a)) =1/81$

$3^a=81$

$a=4$

How do you evaluate log_(1/3) (1/81)log_(1/3) (1/81)?