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Popular >

(e^x)^2-7e^x+10=0

Solution

(e^{x})^{2} - 7 e^{x} + 10 = 0

Solution

x = ln (5), x = ln (2)

+1

Solution steps

(e^{x})^{2} - 7 e^{x} + 10 = 0

Rewrite the equation with

e^{x} = u

(u)^{2} - 7 u + 10 = 0

Solve

u^{2} - 7 u + 10 = 0 : u = 5, u = 2

u = 5, u = 2

Substitute back

u = e^{x},

solve for

x

Solve

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

Solve

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

x = ln (5), x = ln (2)

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2 e^{x} = 4

5^{3x+1}=25^{x-5}

5^{3 x + 1} = 2 5^{x - 5}

e^{9 - 4 x} = 5

Frequently Asked Questions (FAQ)

What is the answer to (e^x)^2-7e^x+10=0 ?
The answer to (e^x)^2-7e^x+10=0 is x=ln(5),x=ln(2)