Precalculus Examples

$\log (10^{6} x^{2})$

Step 1

Rewrite $\log (10^{6} x^{2})$ as $\log (10^{6}) + \log (x^{2})$ .

$\log (10^{6}) + \log (x^{2})$

Step 2

Use logarithm rules to move $6$ out of the exponent.

$6 \log (10) + \log (x^{2})$

Step 3

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

$6 \cdot 1 + \log (x^{2})$

Step 4

Multiply $6$ by $1$ .

$6 + \log (x^{2})$