Precalculus Examples

$\log (2) (\frac{15 \sqrt{r}}{s})$

Step 1

Multiply $\log (2) (\frac{15 \sqrt{r}}{s})$ .

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Step 1.1

Combine $\log (2)$ and $\frac{15 \sqrt{r}}{s}$ .

$\frac{\log (2) (15 \sqrt{r})}{s}$

Step 1.2

Simplify $15 \log (2)$ by moving $15$ inside the logarithm.

$\frac{\log (2^{15}) \sqrt{r}}{s}$

Step 2

Raise $2$ to the power of $15$ .

$\frac{\log (32768) \sqrt{r}}{s}$