Precalculus Examples

$\log_{4} (y) - (2 \log_{4} (x + \log_{4} (z)))$

Step 1

Simplify $2 \log_{4} (x + \log_{4} (z))$ by moving $2$ inside the logarithm.

$\log_{4} (y) - \log_{4} ({(x + \log_{4} (z))}^{2})$

Step 2

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log_{4} (\frac{y}{{(x + \log_{4} (z))}^{2}})$