Algebra Examples

$\log (10 x^{5})$

Step 1

Rewrite $\log (10 x^{5})$ as $\log (10) + \log (x^{5})$ .

$\log (10) + \log (x^{5})$

Step 2

Expand $\log (x^{5})$ by moving $5$ outside the logarithm.

$\log (10) + 5 \log (x)$

Step 3

Logarithm base $10$ of $10$ is $1$ .

$1 + 5 \log (x)$