Precalculus Examples

$- \frac{1}{0.03} \cdot \ln (\frac{1}{4})$

Step 1

Divide $1$ by $0.03$ .

$- 1 \cdot 33.\overline{3} \cdot \ln (\frac{1}{4})$

Step 2

Multiply $- 1$ by $33.\overline{3}$ .

$- 33.\overline{3} \cdot \ln (\frac{1}{4})$

Step 3

Simplify $- 33.\overline{3} \ln (\frac{1}{4})$ by moving $33.\overline{3}$ inside the logarithm.

$- \ln ({(\frac{1}{4})}^{33.\overline{3}})$

Step 4

Apply the product rule to $\frac{1}{4}$ .

$- \ln (\frac{1^{33.\overline{3}}}{4^{33.\overline{3}}})$

Step 5

One to any power is one.

$- \ln (\frac{1}{4^{33.\overline{3}}})$

Step 6

Raise $4$ to the power of $33.\overline{3}$ .

$- \ln (\frac{1}{117129523791979000000})$

Step 7

Divide $1$ by $117129523791979000000$ .

$- \ln (0)$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \ln (0)$

Decimal Form:

$46.20981203 \dots$