en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x)e^{-x}

Solution

simplify

ln (x) e^{- x}

Solution

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

Solution steps

ln (x) e^{- x}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

Popular Examples

simplify 32e^{-0.4(5)}simplify

32 e^{- 0.4 (5)}

simplify sqrt(\sqrt{\sqrt{16)}}simplify

16

simplify 3.1*10^{-7}simplify

3.1 \cdot 1 0^{- 7}

simplify \sqrt[6]{y-8}^2 simplify

simplify sqrt(2x)\sqrt[3]{3x}simplify

Frequently Asked Questions (FAQ)

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