Precalculus Examples

$\log_{9} (y) = 2$

Step 1

Rewrite $\log_{9} (y) = 2$ in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ .

$9^{2} = y$

Step 2

Solve for $y$ .

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Step 2.1

Rewrite the equation as $y = 9^{2}$ .

$y = 9^{2}$

Step 2.2

Raise $9$ to the power of $2$ .

$y = 81$