Precalculus Examples

$e^{\ln (2 x) \cdot 3}$

Step 1

Multiply $\ln (2 x) \cdot 3$ .

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Step 1.1

Reorder $\ln (2 x)$ and $3$ .

$e^{3 \cdot \ln (2 x)}$

Step 1.2

Simplify $3 \cdot \ln (2 x)$ by moving $3$ inside the logarithm.

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

Step 2

Exponentiation and log are inverse functions.

${(2 x)}^{3}$

Step 3

Apply the product rule to $2 x$ .

$2^{3} x^{3}$

Step 4

Raise $2$ to the power of $3$ .

$8 x^{3}$