Precalculus Examples

$\frac{1}{4} \cdot \log_{3} (5 x)$

Step 1

Simplify $\frac{1}{4} \log_{3} (5 x)$ by moving $\frac{1}{4}$ inside the logarithm.

$\log_{3} ({(5 x)}^{\frac{1}{4}})$

Step 2

Apply the product rule to $5 x$ .

$\log_{3} (5^{\frac{1}{4}} x^{\frac{1}{4}})$