en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4e^x-5/(e^x)+e^x=0

Solution

4 e^{x} - \frac{5}{e ^{x}} + e^{x} = 0

Solution

x = 0

Solution steps

4 e^{x} - \frac{5}{e ^{x}} + e^{x} = 0

Apply exponent rules

4 e^{x} - 5 (e^{x})^{- 1} + e^{x} = 0

Rewrite the equation with

e^{x} = u

4 u - 5 (u)^{- 1} + u = 0

Solve

4 u - 5 u^{- 1} + u = 0 : u = 1, u = - 1

u = 1, u = - 1

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 1 : x = 0

Solve

e^{x} = - 1 :

No Solution for

x \in R

x = 0

Verify Solutions:

x = 0

True

The solution is

x = 0

Popular Examples

9^{x+2}=27^{x-1}

9^{x + 2} = 2 7^{x - 1}

2^{3x+9}=4^{x+3}

2^{3 x + 9} = 4^{x + 3}

9^{x+2}=27^{x-3}

9^{x + 2} = 2 7^{x - 3}

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

2^{\frac{x - 3}{2 x - 1}} = 8

solvefor b,c=a^b solve for

b, c = a^{b}

Frequently Asked Questions (FAQ)

What is the answer to 4e^x-5/(e^x)+e^x=0 ?
The answer to 4e^x-5/(e^x)+e^x=0 is x=0