Precalculus Examples

$3 \log (\frac{1}{10^{2}})$

Step 1

Move $10^{2}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$3 \log (10^{- 2})$

Step 2

Expand $\log (10^{- 2})$ by moving $- 2$ outside the logarithm.

$3 (- 2 \log (10))$

Step 3

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

$3 (- 2 \cdot 1)$

Step 4

Multiply $3 (- 2 \cdot 1)$ .

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Step 4.1

Multiply $- 2$ by $1$ .

$3 \cdot - 2$

Step 4.2

Multiply $3$ by $- 2$ .

$- 6$