Precalculus Examples

$\log (10^{5} x^{3})$

Step 1

Rewrite $\log (10^{5} x^{3})$ as $\log (10^{5}) + \log (x^{3})$ .

$\log (10^{5}) + \log (x^{3})$

Step 2

Use logarithm rules to move $5$ out of the exponent.

$5 \log (10) + \log (x^{3})$

Step 3

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

$5 \cdot 1 + \log (x^{3})$

Step 4

Multiply $5$ by $1$ .

$5 + \log (x^{3})$