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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

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)

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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)