Precalculus Examples

$e^{3 \ln (4) - \ln (2)}$

Step 1

Simplify each term.

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Step 1.1

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

$e^{3 \ln (2^{2}) - \ln (2)}$

Step 1.2

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

$e^{3 (2 \ln (2)) - \ln (2)}$

Step 1.3

Multiply $2$ by $3$ .

$e^{6 \ln (2) - \ln (2)}$

Step 2

Subtract $\ln (2)$ from $6 \ln (2)$ .

$e^{5 \ln (2)}$

Step 3

Simplify $5 \ln (2)$ by moving $5$ inside the logarithm.

$e^{\ln (2^{5})}$

Step 4

Exponentiation and log are inverse functions.

$2^{5}$

Step 5

Raise $2$ to the power of $5$ .

$32$