Precalculus Examples

$\frac{\log (9)}{\log (3)}$

Step 1

Rewrite $\log (9)$ as $\log (3^{2})$ .

$\frac{\log (3^{2})}{\log (3)}$

Step 2

Expand $\log (3^{2})$ by moving $2$ outside the logarithm.

$\frac{2 \log (3)}{\log (3)}$

Step 3

Cancel the common factor of $\log (3)$ .

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Step 3.1

Cancel the common factor.

$\frac{2 \log (3)}{\log (3)}$

Step 3.2

Divide $2$ by $1$ .

$2$