Precalculus Examples

$\log (\frac{1}{10^{x}})$

Step 1

Rewrite $\log (\frac{1}{10^{x}})$ as $\log (1) - \log (10^{x})$ .

$\log (1) - \log (10^{x})$

Step 2

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

$\log (1) - (x \log (10))$

Step 3

Logarithm base $10$ of $1$ is $0$ .

$0 - (x \log (10))$

Step 4

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

$0 - (x \cdot 1)$

Step 5

Subtract $x \cdot 1$ from $0$ .

$- (x \cdot 1)$

Step 6

Multiply $x$ by $1$ .

$- x$