Simplify/Condense 3 natural log of 3+3 natural log of c

$3 \ln (3) + 3 \ln (c)$

Step 1

Simplify each term.

Simplify $3 \ln (3)$ by moving $3$ inside the logarithm.

$\ln (3^{3}) + 3 \ln (c)$

Raise $3$ to the power of $3$ .

$\ln (27) + 3 \ln (c)$

Simplify $3 \ln (c)$ by moving $3$ inside the logarithm.

$\ln (27) + \ln (c^{3})$

Step 2

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\ln (27 c^{3})$