Precalculus Examples

$\log_{b} (\frac{4}{c})$

Step 1

Rewrite $\log_{b} (\frac{4}{c})$ as $\log_{b} (4) - \log_{b} (c)$ .

$\log_{b} (4) - \log_{b} (c)$

Step 2

Simplify each term.

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Step 2.1

Rewrite $\log_{b} (4)$ as $\log_{b} (2^{2})$ .

$\log_{b} (2^{2}) - \log_{b} (c)$

Step 2.2

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

$2 \log_{b} (2) - \log_{b} (c)$