Precalculus Examples

$\log (9) - \log (3)$

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

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

$2 \log (3) - \log (3)$

Step 2

Subtract $\log (3)$ from $2 \log (3)$ .

$\log (3)$