Precalculus Examples

$0.6 e^{\frac{\ln (\frac{0.56}{0.6})}{30}} \cdot 180$

Step 1

Rewrite $\frac{\ln (\frac{0.56}{0.6})}{30}$ as $\frac{1}{30} \ln (\frac{0.56}{0.6})$ .

$0.6 e^{\frac{1}{30} \ln (\frac{0.56}{0.6})} \cdot 180$

Step 2

Simplify $\frac{1}{30} \ln (\frac{0.56}{0.6})$ by moving $\frac{1}{30}$ inside the logarithm.

$0.6 e^{\ln ({(\frac{0.56}{0.6})}^{\frac{1}{30}})} \cdot 180$

Step 3

Exponentiation and log are inverse functions.

$0.6 {(\frac{0.56}{0.6})}^{\frac{1}{30}} \cdot 180$

Step 4

Divide $0.56$ by $0.6$ .

$0.6 \cdot {0.9\overline{3}}^{\frac{1}{30}} \cdot 180$

Step 5

Raise $0.9\overline{3}$ to the power of $\frac{1}{30}$ .

$0.6 \cdot 0.99770288 \cdot 180$

Step 6

Multiply $0.6 \cdot 0.99770288 \cdot 180$ .

Tap for more steps...

Step 6.1

Multiply $0.6$ by $0.99770288$ .

$0.59862172 \cdot 180$

Step 6.2

Multiply $0.59862172$ by $180$ .

$107.75191104$