Precalculus Examples

$\log_{9} (9^{3}) = x$

Step 1

Rewrite the equation as $x = \log_{9} (9^{3})$ .

$x = \log_{9} (9^{3})$

Step 2

Simplify $\log_{9} (9^{3})$ .

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Step 2.1

Use logarithm rules to move $3$ out of the exponent.

$x = 3 \log_{9} (9)$

Step 2.2

Logarithm base $9$ of $9$ is $1$ .

$x = 3 \cdot 1$

Step 2.3

Multiply $3$ by $1$ .

$x = 3$