Simplify/Condense 2 natural log of 8+5 natural log of z-4

$2 \ln (8) + 5 \ln (z - 4)$

Step 1

Simplify each term.

Simplify $2 \ln (8)$ by moving $2$ inside the logarithm.

$\ln (8^{2}) + 5 \ln (z - 4)$

Raise $8$ to the power of $2$ .

$\ln (64) + 5 \ln (z - 4)$

Simplify $5 \ln (z - 4)$ by moving $5$ inside the logarithm.

$\ln (64) + \ln ({(z - 4)}^{5})$

Step 2

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

$\ln (64 {(z - 4)}^{5})$