en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-2e^{-x}=3e^x-5

Solution

- 2 e^{- x} = 3 e^{x} - 5

Solution

x = 0, x = ln (\frac{2}{3})

+1

Decimal Notation

x = 0, x = - 0.40546 \dots

Solution steps

- 2 e^{- x} = 3 e^{x} - 5

Apply exponent rules

- 2 (e^{x})^{- 1} = 3 e^{x} - 5

Rewrite the equation with

e^{x} = u

- 2 (u)^{- 1} = 3 u - 5

Solve

- 2 u^{- 1} = 3 u - 5 : u = 1, u = \frac{2}{3}

u = 1, u = \frac{2}{3}

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 1 : x = 0

Solve

e^{x} = \frac{2}{3} : x = ln (\frac{2}{3})

x = 0, x = ln (\frac{2}{3})

Popular Examples

1 - x = e^{x}

2^x+2^{x+2}+2^{x+3}=208

2^{x} + 2^{x + 2} + 2^{x + 3} = 208

solvefor n,a=p(1+r)^n solve for

n, a = p (1 + r)^{n}

2^{y} = 8

2^{y} = 3

Frequently Asked Questions (FAQ)

What is the answer to -2e^{-x}=3e^x-5 ?
The answer to -2e^{-x}=3e^x-5 is x=0,x=ln(2/3)