Precalculus Examples

$11 \log_{7} (x) - \log_{7} (x - 4)$

Step 1

Simplify $11 \log_{7} (x)$ by moving $11$ inside the logarithm.

$\log_{7} (x^{11}) - \log_{7} (x - 4)$

Step 2

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

$\log_{7} (\frac{x^{11}}{x - 4})$