en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

- x^{2}

Solution steps

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

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= - ln (e) x^{2}

Apply log rule:

lo g_{a} (a) = 1

= - x^{2}

Popular Examples

simplify (20z^{-9})/((-5z)^2)simplify

\frac{20 z ^{- 9}}{( - 5 z ) ^{2}}

simplify (3x)/(5y)+4/(5y)simplify

\frac{3 x}{5 y} + \frac{4}{5 y}

simplify (3+2i)(2-3i)simplify

(3 + 2 i) (2 - 3 i)

simplify 1/(x^2)-1/(x^2+x)simplify

\frac{1}{x ^{2}} - \frac{1}{x ^{2} + x}

simplify 10*9*8 simplify

10 \cdot 9 \cdot 8

Frequently Asked Questions (FAQ)

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