Precalculus Examples

$\log (\log (\frac{x}{x^{2}}) d x)$

Step 1

Rewrite $\log (\frac{x}{x^{2}})$ as $\log (x) - \log (x^{2})$ .

$\log ((\log (x) - \log (x^{2})) d x)$

Step 2

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

$\log ((\log (x) - (2 \log (x))) d x)$

Step 3

Multiply $2$ by $- 1$ .

$\log ((\log (x) - 2 \log (x)) d x)$

Step 4

Subtract $2 \log (x)$ from $\log (x)$ .

$\log (- \log (x) d x)$

Step 5

The logarithm of a negative number is undefined.

Undefined