# How do you solve log_3(27)?

Nov 29, 2015

${\log}_{3} \left(27\right) = 3$

#### Explanation:

Finding the value $x = {\log}_{3} \left(27\right)$
is equivalent to finding $x$ such that ${3}^{x} = 27$
(this is basic to the definition of $\log$)

${3}^{1} = 3$
${3}^{2} = 9$
${3}^{3} = 27$

$x = 3$