Precalculus Examples

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

Step 1

Rewrite $\ln (4)$ as $\ln (2^{2})$ .

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

Step 2

Expand $\ln (2^{2})$ by moving $2$ outside the logarithm.

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

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Divide $\ln (2)$ by $1$ .

$e^{\ln (2)}$

Step 4

Exponentiation and log are inverse functions.

$2$