Precalculus Examples

$\log_{4} (25) - \log_{4} (5)$

Step 1

Simplify each term.

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Step 1.1

Rewrite $\log_{4} (25)$ as $\log_{4} (5^{2})$ .

$\log_{4} (5^{2}) - \log_{4} (5)$

Step 1.2

Expand $\log_{4} (5^{2})$ by moving $2$ outside the logarithm.

$2 \log_{4} (5) - \log_{4} (5)$

Step 2

Subtract $\log_{4} (5)$ from $2 \log_{4} (5)$ .

$\log_{4} (5)$