Precalculus Examples

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

Step 1

Cancel the common factor of $30$ .

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Step 1.1

Divide $0.56$ by $0.6$ .

$0.6 e^{\frac{\ln (0.9\overline{3})}{30} \cdot 180}$

Step 1.2

Factor $30$ out of $180$ .

$0.6 e^{\frac{\ln (0.9\overline{3})}{30} \cdot (30 (6))}$

Step 1.3

Cancel the common factor.

$0.6 e^{\frac{\ln (0.9\overline{3})}{30} \cdot (30 \cdot 6)}$

Step 1.4

Rewrite the expression.

$0.6 e^{\ln (0.9\overline{3}) \cdot 6}$

Step 2

Reorder $\ln (0.9\overline{3})$ and $6$ .

$0.6 e^{6 \cdot \ln (0.9\overline{3})}$

Step 3

Simplify $6 \cdot \ln (0.9\overline{3})$ by moving $6$ inside the logarithm.

$0.6 e^{\ln ({0.9\overline{3}}^{6})}$

Step 4

Exponentiation and log are inverse functions.

$0.6 \cdot {0.9\overline{3}}^{6}$

Step 5

Raise $0.9\overline{3}$ to the power of $6$ .

$0.6 \cdot 0.66102922$

Step 6

Multiply $0.6$ by $0.66102922$ .

$0.39661753$