Precalculus Examples

$\frac{\ln (5)}{\ln (\frac{3}{8})}$

Step 1

Rewrite $\ln (\frac{3}{8})$ as $\ln (3) - \ln (8)$ .

$\frac{\ln (5)}{\ln (3) - \ln (8)}$

Step 2

Rewrite $\ln (8)$ as $\ln (2^{3})$ .

$\frac{\ln (5)}{\ln (3) - \ln (2^{3})}$

Step 3

Expand $\ln (2^{3})$ by moving $3$ outside the logarithm.

$\frac{\ln (5)}{\ln (3) - (3 \ln (2))}$

Step 4

Multiply $3$ by $- 1$ .

$\frac{\ln (5)}{\ln (3) - 3 \ln (2)}$