Precalculus Examples

$6 e^{- 4 \ln (x)}$

Step 1

Simplify $- 4 \ln (x)$ by moving $- 4$ inside the logarithm.

$6 e^{\ln (x^{- 4})}$

Step 2

Exponentiation and log are inverse functions.

$6 x^{- 4}$

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$6 \frac{1}{x^{4}}$

Step 4

Combine $6$ and $\frac{1}{x^{4}}$ .

$\frac{6}{x^{4}}$