What is the answer to solvefor x,e^{2x}-3e^x+2=0 ?

The answer to solvefor x,e^{2x}-3e^x+2=0 is x=ln(2),x=0

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solvefor x,e^{2x}-3e^x+2=0

solve for

x, e^{2 x} - 3 e^{x} + 2 = 0

x = ln (2), x = 0

Solution steps

e^{2 x} - 3 e^{x} + 2 = 0

Apply exponent rules

(e^{x})^{2} - 3 e^{x} + 2 = 0

Rewrite the equation with

e^{x} = u

(u)^{2} - 3 u + 2 = 0

Solve

u^{2} - 3 u + 2 = 0 : u = 2, u = 1

u = 2, u = 1

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 2 : x = ln (2)

Solve

e^{x} = 1 : x = 0

x = ln (2), x = 0

x - 2^{- x} = 0

x, e^{x y} + y = x - 1

2 e^{2 x} - e^{- x} = 0

4^{x} - 2^{x + 1} = 48

(7^{- x})^{2} = 343

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