Calculus Examples

$\ln (\frac{y {(y + 2)}^{5}}{y - 1})$

Step 1

Rewrite $\ln (\frac{y {(y + 2)}^{5}}{y - 1})$ as $\ln (y {(y + 2)}^{5}) - \ln (y - 1)$ .

$\ln (y {(y + 2)}^{5}) - \ln (y - 1)$

Step 2

Rewrite $\ln (y {(y + 2)}^{5})$ as $\ln (y) + \ln ({(y + 2)}^{5})$ .

$\ln (y) + \ln ({(y + 2)}^{5}) - \ln (y - 1)$

Step 3

Expand $\ln ({(y + 2)}^{5})$ by moving $5$ outside the logarithm.

$\ln (y) + 5 \ln (y + 2) - \ln (y - 1)$