Simplify/Condense natural log of u+ natural log of v+5 natural log of w

$\ln (u) + \ln (v) + 5 \ln (w)$

Step 1

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

$\ln (u v) + 5 \ln (w)$

Step 2

Simplify $5 \ln (w)$ by moving $5$ inside the logarithm.

$\ln (u v) + \ln (w^{5})$

Step 3

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

$\ln (u v w^{5})$