Precalculus Examples

$e^{2 (\ln (3))} + 2 e^{\ln (3)} - 15$

Step 1

Simplify each term.

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Step 1.1

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

$e^{\ln (3^{2})} + 2 e^{\ln (3)} - 15$

Step 1.2

Exponentiation and log are inverse functions.

$3^{2} + 2 e^{\ln (3)} - 15$

Step 1.3

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

$9 + 2 e^{\ln (3)} - 15$

Step 1.4

Exponentiation and log are inverse functions.

$9 + 2 \cdot 3 - 15$

Step 1.5

Multiply $2$ by $3$ .

$9 + 6 - 15$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $9$ and $6$ .

$15 - 15$

Step 2.2

Subtract $15$ from $15$ .

$0$