Question

Determine the value of the log3 to the base 81

Answer 1

$log_{81}(3) = log_{ {3}^{4} }(3) \: \\ = (1 \div 4) log_{3}(3) = 1 \div 4$

using logrithm property.

I hope it will help you.

Answer 2

$log_{81}(3)$

$= log_{ {3}^{4} }(3)$

$= \frac{1}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: using \: ( log_{ {a}^{y} } = \frac{1}{y} )$

$alternative \: form \sim \: 0.25, {2}^{ - 2}$