# How do you find the exact value of log_3(81)?

Mar 21, 2018

4

#### Explanation:

To find the value of $x = {\log}_{3} 81$ we need to find $x$ such that

${3}^{x} = 81$

Now

${3}^{1} = 3$
${3}^{2} = 9$
${3}^{3} = 27$
${3}^{4} = 81$

Thus $x = 4$