Precalculus Examples

$\log_{b} (x^{7}) (y^{\frac{1}{3}})$

Step 1

Expand $\log_{b} (x^{7})$ by moving $7$ outside the logarithm.

$7 \log_{b} (x) y^{\frac{1}{3}}$

Step 2

Reorder factors in $7 \log_{b} (x) y^{\frac{1}{3}}$ .

$7 y^{\frac{1}{3}} \log_{b} (x)$