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Popular >

e^{2x}-7e^x+6=0

Solution

e^{2 x} - 7 e^{x} + 6 = 0

Solution

x = ln (6), x = 0

+1

Solution steps

e^{2 x} - 7 e^{x} + 6 = 0

Apply exponent rules

(e^{x})^{2} - 7 e^{x} + 6 = 0

Rewrite the equation with

e^{x} = u

(u)^{2} - 7 u + 6 = 0

Solve

u^{2} - 7 u + 6 = 0 : u = 6, u = 1

u = 6, u = 1

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 6 : x = ln (6)

Solve

e^{x} = 1 : x = 0

x = ln (6), x = 0

Popular Examples

sqrt(3^{2x+1)}=9^{x-2}

3^{2 x + 1} = 9^{x - 2}

10 = 2^{x}

36^{(3x-1)}=6^{(4x+2)}

3 6^{(3 x - 1)} = 6^{(4 x + 2)}

(-e^{-k}+e^{(-5k)/6})=2

(- e^{- k} + e^{\frac{- 5 k}{6}}) = 2

2^{2 x} = 16

Frequently Asked Questions (FAQ)

What is the answer to e^{2x}-7e^x+6=0 ?
The answer to e^{2x}-7e^x+6=0 is x=ln(6),x=0