Precalculus Examples

$\ln (\frac{x}{x - 8}) + \ln (\frac{x + 8}{x}) - \ln (x^{2} - 64)$

Step 1

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

$\ln (x) - \ln (x - 8) + \ln (\frac{x + 8}{x}) - \ln (x^{2} - 64)$

Step 2

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

$\ln (x) - \ln (x - 8) + \ln (x + 8) - \ln (x) - \ln (x^{2} - 64)$

Step 3

Subtract $\ln (x)$ from $\ln (x)$ .

$0 - \ln (x - 8) + \ln (x + 8) - \ln (x^{2} - 64)$

Step 4

Subtract $\ln (x - 8)$ from $0$ .

$- \ln (x - 8) + \ln (x + 8) - \ln (x^{2} - 64)$