Precalculus Examples

$5 \log_{7} (x) - \log_{7} (8)$

Step 1

Simplify $5 \log_{7} (x)$ by moving $5$ inside the logarithm.

$\log_{7} (x^{5}) - \log_{7} (8)$

Step 2

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

$\log_{7} (\frac{x^{5}}{8})$