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Popular >

e^{2x}-6e^x+5=0

Solution

e^{2 x} - 6 e^{x} + 5 = 0

Solution

x = ln (5), x = 0

+1

Solution steps

e^{2 x} - 6 e^{x} + 5 = 0

Apply exponent rules

(e^{x})^{2} - 6 e^{x} + 5 = 0

Rewrite the equation with

e^{x} = u

(u)^{2} - 6 u + 5 = 0

Solve

u^{2} - 6 u + 5 = 0 : u = 5, u = 1

u = 5, u = 1

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 5 : x = ln (5)

Solve

e^{x} = 1 : x = 0

x = ln (5), x = 0

Popular Examples

4^{x+3}=7^{x-1}

4^{x + 3} = 7^{x - 1}

7 e^{5 t} = 100

x - e^{x} = 0

4^{2} \cdot 4^{n} = 4^{7}

4^{x-1}-2^{x+3}+28=0

4^{x - 1} - 2^{x + 3} + 28 = 0

Frequently Asked Questions (FAQ)

What is the answer to e^{2x}-6e^x+5=0 ?
The answer to e^{2x}-6e^x+5=0 is x=ln(5),x=0