Precalculus Examples

$\log_{b} (\frac{9}{7})$

Step 1

Rewrite $\log_{b} (\frac{9}{7})$ as $\log_{b} (9) - \log_{b} (7)$ .

$\log_{b} (9) - \log_{b} (7)$

Step 2

Simplify each term.

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Step 2.1

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

$\log_{b} (3^{2}) - \log_{b} (7)$

Step 2.2

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

$2 \log_{b} (3) - \log_{b} (7)$