Precalculus Examples

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

Step 1

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

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

Step 2

Simplify each term.

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

Multiply $2$ by $- 1$ .

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