Precalculus Examples

$\frac{\log_{4} (49)}{\log_{4} (7)}$

Step 1

Rewrite $\log_{4} (49)$ as $\log_{4} (7^{2})$ .

$\frac{\log_{4} (7^{2})}{\log_{4} (7)}$

Step 2

Expand $\log_{4} (7^{2})$ by moving $2$ outside the logarithm.

$\frac{2 \log_{4} (7)}{\log_{4} (7)}$

Step 3

Cancel the common factor of $\log_{4} (7)$ .

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Step 3.1

Cancel the common factor.

$\frac{2 \log_{4} (7)}{\log_{4} (7)}$

Step 3.2

Divide $2$ by $1$ .

$2$