Precalculus Examples

$\frac{3}{4} \cdot \log_{a} (2 y)$

Step 1

Simplify $\frac{3}{4} \log_{a} (2 y)$ by moving $\frac{3}{4}$ inside the logarithm.

$\log_{a} ({(2 y)}^{\frac{3}{4}})$

Step 2

Apply the product rule to $2 y$ .

$\log_{a} (2^{\frac{3}{4}} y^{\frac{3}{4}})$