Precalculus Examples

$(\ln (1) - e^{\ln (25)}) (30 - e^{\ln (4^{2})})$

Step 1

Simplify each term.

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Step 1.1

The natural logarithm of $1$ is $0$ .

$(0 - e^{\ln (25)}) (30 - e^{\ln (4^{2})})$

Step 1.2

Exponentiation and log are inverse functions.

$(0 - 1 \cdot 25) (30 - e^{\ln (4^{2})})$

Step 1.3

Multiply $- 1$ by $25$ .

$(0 - 25) (30 - e^{\ln (4^{2})})$

$(0 - 25) (30 - e^{\ln (4^{2})})$

Step 2

Subtract $25$ from $0$ .

$- 25 (30 - e^{\ln (4^{2})})$

Step 3

Simplify each term.

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Step 3.1

Exponentiation and log are inverse functions.

$- 25 (30 - 4^{2})$

Step 3.2

Raise $4$ to the power of $2$ .

$- 25 (30 - 1 \cdot 16)$

Step 3.3

Multiply $- 1$ by $16$ .

$- 25 (30 - 16)$

$- 25 (30 - 16)$

Step 4

Simplify the expression.

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Step 4.1

Subtract $16$ from $30$ .

$- 25 \cdot 14$

Step 4.2

Multiply $- 25$ by $14$ .

$- 350$

$- 350$

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