Precalculus Examples

$\frac{1}{5} \cdot \log_{4} (\frac{7 x}{y})$

Step 1

Simplify $\frac{1}{5} \log_{4} (\frac{7 x}{y})$ by moving $\frac{1}{5}$ inside the logarithm.

$\log_{4} ({(\frac{7 x}{y})}^{\frac{1}{5}})$

Step 2

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Tap for more steps...

Step 2.1

Apply the product rule to $\frac{7 x}{y}$ .

$\log_{4} (\frac{{(7 x)}^{\frac{1}{5}}}{y^{\frac{1}{5}}})$

Step 2.2

Apply the product rule to $7 x$ .

$\log_{4} (\frac{7^{\frac{1}{5}} x^{\frac{1}{5}}}{y^{\frac{1}{5}}})$