en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-ln(y/x+1)}

Solution

simplify

e^{- l n (\frac{y}{x} + 1)}

Solution

\frac{x}{y + x}

Solution steps

e^{- l n (\frac{y}{x} + 1)}

Apply exponent rule:

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

= \frac{1}{e ^{l n (\frac{y}{x} + 1)}}

e^{l n (\frac{y}{x} + 1)} = \frac{y + x}{x}

= \frac{1}{\frac{y + x}{x}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{x}{y + x}

Popular Examples

simplify e^{-x^2}sqrt(1+4e^{-2x^2)x^2}simplify

e^{- x^{2}} 1 + 4 e^{- 2 x^{2}} x^{2}

simplify 1/(sqrt(2pi))e^{-x/2}simplify

\frac{1}{2 π} e^{- \frac{x}{2}}

simplify vfsqrt(-)2(2ms^2)(300m)simplify

v f - 2 (2 m s^{2}) (300 m)

simplify (e^{1/2 x}ln(x))(xe^{1/2 x})simplify

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

simplify 120pi*5*10^{-3}simplify

120 π \cdot 5 \cdot 1 0^{- 3}

Frequently Asked Questions (FAQ)

What is e^{-ln(y/x+1)} ?
The solution to e^{-ln(y/x+1)} is x/(y+x)