Precalculus Examples

$\frac{\ln (\frac{1}{7})}{\ln (7)}$

Step 1

Rewrite $\frac{1}{7}$ as $7^{- 1}$ .

$\frac{\ln (7^{- 1})}{\ln (7)}$

Step 2

Expand $\ln (7^{- 1})$ by moving $- 1$ outside the logarithm.

$\frac{- \ln (7)}{\ln (7)}$

Step 3

Cancel the common factor of $\ln (7)$ .

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Step 3.1

Cancel the common factor.

$\frac{- \ln (7)}{\ln (7)}$

Step 3.2

Divide $- 1$ by $1$ .

$- 1$