Precalculus Examples

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

Step 1

Simplify each term.

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Step 1.1

Exponentiation and log are inverse functions.

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

Step 1.2

Exponentiation and log are inverse functions.

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

Step 1.3

Exponentiation and log are inverse functions.

$3 + 2 - e$

$3 + 2 - e$

Step 2

Add $3$ and $2$ .

$5 - e$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 - e$

Decimal Form:

$2.28171817 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$