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Popular >

simplify (-ln(x))(e^{-2x})

Solution

simplify

(- ln (x)) (e^{- 2 x})

Solution

- \frac{ln ( x )}{e ^{2 x}}

Solution steps

(- ln (x)) (e^{- 2 x})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{2 x}} (- ln (x))

Remove parentheses:

(- a) = - a

= - ln (x) \frac{1}{e ^{2 x}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{1 \cdot ln ( x )}{e ^{2 x}}

Multiply:

1 \cdot ln (x) = ln (x)

= - \frac{ln ( x )}{e ^{2 x}}

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Frequently Asked Questions (FAQ)

What is (-ln(x))(e^{-2x}) ?
The solution to (-ln(x))(e^{-2x}) is -(ln(x))/(e^{2x)}