Trigonometry Examples

$5^{3 (- \frac{\ln (3)}{\ln (5)})}$

Step 1

Multiply $3 (- \frac{\ln (3)}{\ln (5)})$ .

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Step 1.1

Multiply $- 1$ by $3$ .

$5^{- 3 \frac{\ln (3)}{\ln (5)}}$

Step 1.2

Combine $- 3$ and $\frac{\ln (3)}{\ln (5)}$ .

$5^{\frac{- 3 \ln (3)}{\ln (5)}}$

$5^{\frac{- 3 \ln (3)}{\ln (5)}}$

Step 2

Move the negative in front of the fraction.

$5^{- \frac{3 \ln (3)}{\ln (5)}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5^{- \frac{3 \ln (3)}{\ln (5)}}$

Decimal Form:

$0.\overline{037}$

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