Precalculus Examples

$\log (4) (\frac{4 x}{y^{9}})$

Step 1

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

$\log (2^{2}) \frac{4 x}{y^{9}}$

Step 2

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

$2 \log (2) \frac{4 x}{y^{9}}$

Step 3

Multiply $2 \log (2) \frac{4 x}{y^{9}}$ .

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Step 3.1

Combine $\frac{4 x}{y^{9}}$ and $2$ .

$\frac{4 x \cdot 2}{y^{9}} \log (2)$

Step 3.2

Multiply $2$ by $4$ .

$\frac{8 x}{y^{9}} \log (2)$

Step 3.3

Combine $\frac{8 x}{y^{9}}$ and $\log (2)$ .

$\frac{8 x \log (2)}{y^{9}}$