Algebra Examples

$\frac{\log (16)}{\log (2)}$

Step 1

Rewrite $\log (16)$ as $\log (2^{4})$ .

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

Step 2

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

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

Step 3

Cancel the common factor of $\log (2)$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Divide $4$ by $1$ .

$4$