Expand the Logarithmic Expression log base b of y^2x

$\log_{b} (y^{2} x)$

Step 1

Rewrite $\log_{b} (y^{2} x)$ as $\log_{b} (y^{2}) + \log_{b} (x)$ .

$\log_{b} (y^{2}) + \log_{b} (x)$

Step 2

Expand $\log_{b} (y^{2})$ by moving $2$ outside the logarithm.

$2 \log_{b} (y) + \log_{b} (x)$