Precalculus Examples

$\frac{4 \log (5)}{\log (4)}$

Step 1

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

$\frac{4 \log (5)}{\log (2^{2})}$

Step 2

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

$\frac{4 \log (5)}{2 \log (2)}$

Step 3

Cancel the common factor of $4$ and $2$ .

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Step 3.1

Factor $2$ out of $4 \log (5)$ .

$\frac{2 (2 \log (5))}{2 \log (2)}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $2 \log (2)$ .

$\frac{2 (2 \log (5))}{2 (\log (2))}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (2 \log (5))}{2 \log (2)}$

Step 3.2.3

Rewrite the expression.

$\frac{2 \log (5)}{\log (2)}$