Precalculus Examples

$\log_{h} (\frac{9}{2})$

Step 1

Rewrite $\log_{h} (\frac{9}{2})$ as $\log_{h} (9) - \log_{h} (2)$ .

$\log_{h} (9) - \log_{h} (2)$

Step 2

Simplify each term.

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Step 2.1

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

$\log_{h} (3^{2}) - \log_{h} (2)$

Step 2.2

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

$2 \log_{h} (3) - \log_{h} (2)$