Precalculus Examples

$\log (11 \cdot 10^{8})$

Step 1

Rewrite $\log (11 \cdot 10^{8})$ as $\log (11) + \log (10^{8})$ .

$\log (11) + \log (10^{8})$

Step 2

Expand $\log (10^{8})$ by moving $8$ outside the logarithm.

$\log (11) + 8 \log (10)$

Step 3

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

$\log (11) + 8 \cdot 1$

Step 4

Multiply $8$ by $1$ .

$\log (11) + 8$