en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

e^{4x}+2e^{2x}-8=0

Solution

e^{4 x} + 2 e^{2 x} - 8 = 0

Solution

x = \frac{1}{2} ln (2)

+1

Decimal Notation

x = 0.34657 \dots

Solution steps

e^{4 x} + 2 e^{2 x} - 8 = 0

Apply exponent rules

(e^{x})^{4} + 2 (e^{x})^{2} - 8 = 0

Rewrite the equation with

e^{x} = u

(u)^{4} + 2 (u)^{2} - 8 = 0

Solve

u^{4} + 2 u^{2} - 8 = 0 : u = 2, u = - 2

u = 2, u = - 2

Substitute back

u = e^{x},

solve for

x

Solve

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

Solve

e^{x} = - 2 :

No Solution for

x \in R

x = \frac{1}{2} ln (2)

Popular Examples

solvefor k,k(x)=x^4e^{3x}solve for

k, k (x) = x^{4} e^{3 x}

(16^{32})^{x-2}=2^{2^{x+2}}

(1 6^{32})^{x - 2} = 2^{2^{x + 2}}

solvefor x,Fx+e^{-x}Fy=0 solve for

x, F x + e^{- x} F y = 0

4^{2x}=32^{x-2}

4^{2 x} = 3 2^{x - 2}

(1/2)^{x^2-5x+3}=8

(\frac{1}{2})^{x^{2} - 5 x + 3} = 8

Frequently Asked Questions (FAQ)

What is the answer to e^{4x}+2e^{2x}-8=0 ?
The answer to e^{4x}+2e^{2x}-8=0 is x= 1/2 ln(2)