Precalculus Examples

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

Use logarithm rules to move $2$ out of the exponent.

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

Logarithm base $y$ of $y$ is $1$ .

$\log_{x} (x (2 \cdot 1))$

Multiply $2$ by $1$ .

$\log_{x} (x \cdot 2)$

Move $2$ to the left of $x$ .

$\log_{x} (2 x)$