Precalculus Examples

$\log (3 x) + 2 \log (x - \log (y))$

Step 1

Simplify $2 \log (x - \log (y))$ by moving $2$ inside the logarithm.

$\log (3 x) + \log ({(x - \log (y))}^{2})$

Step 2

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log (3 x {(x - \log (y))}^{2})$