Precalculus Examples

$\log (\frac{x + 7}{x^{76}})$

Step 1

Rewrite $\log (\frac{x + 7}{x^{76}})$ as $\log (x + 7) - \log (x^{76})$ .

$\log (x + 7) - \log (x^{76})$

Step 2

Expand $\log (x^{76})$ by moving $76$ outside the logarithm.

$\log (x + 7) - (76 \log (x))$

Step 3

Multiply $76$ by $- 1$ .

$\log (x + 7) - 76 \log (x)$