Simplify/Condense 2 log of x+ log of 5

$2 \log (x) + \log (5)$

Step 1

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

$\log (x^{2}) + \log (5)$

Step 2

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

$\log (x^{2} \cdot 5)$

Step 3

Move $5$ to the left of $x^{2}$ .

$\log (5 x^{2})$