Simplify/Condense log of 4x+2* log of x-3

$\log (4 x) + 2 \cdot \log (x - 3)$

Step 1

Simplify $2 \log (x - 3)$ by moving $2$ inside the logarithm.

$\log (4 x) + \log ({(x - 3)}^{2})$

Step 2

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

$\log (4 x {(x - 3)}^{2})$