Expand the Logarithmic Expression natural log of 9x(2x+5)

$\ln (9 x (2 x + 5))$

Step 1

Rewrite $\ln (9 x (2 x + 5))$ as $\ln (9 x) + \ln (2 x + 5)$ .

$\ln (9 x) + \ln (2 x + 5)$

Step 2

Rewrite $\ln (9 x)$ as $\ln (9) + \ln (x)$ .

$\ln (9) + \ln (x) + \ln (2 x + 5)$

Step 3

Simplify each term.

Rewrite $\ln (9)$ as $\ln (3^{2})$ .

$\ln (3^{2}) + \ln (x) + \ln (2 x + 5)$

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

$2 \ln (3) + \ln (x) + \ln (2 x + 5)$