Precalculus Examples

$\log ({(\frac{1}{5})}^{25})$

Step 1

Apply the product rule to $\frac{1}{5}$ .

$\log (\frac{1^{25}}{5^{25}})$

Step 2

One to any power is one.

$\log (\frac{1}{5^{25}})$

Step 3

Raise $5$ to the power of $25$ .

$\log (\frac{1}{298023223876953000})$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log (\frac{1}{298023223876953000})$

Decimal Form:

$- 17.47425010 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$