Algebra Examples

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

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Simplify $2 \log (5)$ by moving $2$ inside the logarithm.

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

Step 1.2

Raise $5$ to the power of $2$ .

$\log (25) + 5 \log (x)$

Step 1.3

Simplify $5 \log (x)$ by moving $5$ inside the logarithm.

$\log (25) + \log (x^{5})$

Step 2

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

$\log (25 x^{5})$