Precalculus Examples

$\ln (5 x (21 - x^{34}) {(x + 2)}^{2})$

Step 1

Rewrite $\ln (5 x (21 - x^{34}) {(x + 2)}^{2})$ as $\ln (5 x (21 - x^{34})) + \ln ({(x + 2)}^{2})$ .

$\ln (5 x (21 - x^{34})) + \ln ({(x + 2)}^{2})$

Step 2

Rewrite $\ln (5 x (21 - x^{34}))$ as $\ln (5 x) + \ln (21 - x^{34})$ .

$\ln (5 x) + \ln (21 - x^{34}) + \ln ({(x + 2)}^{2})$

Step 3

Rewrite $\ln (5 x)$ as $\ln (5) + \ln (x)$ .

$\ln (5) + \ln (x) + \ln (21 - x^{34}) + \ln ({(x + 2)}^{2})$

Step 4

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

$\ln (5) + \ln (x) + \ln (21 - x^{34}) + 2 \ln (x + 2)$