Precalculus Examples

$1000 e^{\frac{\ln (2)}{2} \cdot 4}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $4$ .

$1000 e^{\frac{\ln (2)}{2} \cdot (2 (2))}$

Step 1.2

Cancel the common factor.

$1000 e^{\frac{\ln (2)}{2} \cdot (2 \cdot 2)}$

Step 1.3

Rewrite the expression.

$1000 e^{\ln (2) \cdot 2}$

Step 2

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

$1000 e^{2 \cdot \ln (2)}$

Step 3

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

$1000 e^{\ln (2^{2})}$

Step 4

Exponentiation and log are inverse functions.

$1000 \cdot 2^{2}$

Step 5

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

$1000 \cdot 4$

Step 6

Multiply $1000$ by $4$ .

$4000$