2 Answers

Wilson Desimini · Answer 1 · 2022-05-23T15:42:26+0000

Answer:

4

Explanation:

Define
$\log_a b=c\implies a^c=b$ .

Let

$\log_3 81=x$ .

Using our definition
$\log_a b=c\implies a^c=b$ , we have:

3^x=81

Solving for
:

$x=\boxed{4}\text{ from simply knowing that }3^4=81$

Or

Algebraically solve step-by-step by taking the log of both sides:

$\log 3^x=\log 81$

Using log property
$\log a^b=b\log a$ , rewrite:

$x\log 3=\log81$

Divide both sides by log(3):

$x=(\log 81)/(\log 3)=\boxed{4}$

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