Precalculus Examples

$12.5 e^{\ln (2) \cdot 7}$

Step 1

Multiply $\ln (2) \cdot 7$ .

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Step 1.1

Reorder $\ln (2)$ and $7$ .

$12.5 e^{7 \cdot \ln (2)}$

Step 1.2

Simplify $7 \cdot \ln (2)$ by moving $7$ inside the logarithm.

$12.5 e^{\ln (2^{7})}$

Step 2

Exponentiation and log are inverse functions.

$12.5 \cdot 2^{7}$

Step 3

Raise $2$ to the power of $7$ .

$12.5 \cdot 128$

Step 4

Multiply $12.5$ by $128$ .

$1600$