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Popular >

e^{2x}-11e^x+30=0

Solution

e^{2 x} - 11 e^{x} + 30 = 0

Solution

x = ln (6), x = ln (5)

+1

Solution steps

e^{2 x} - 11 e^{x} + 30 = 0

Apply exponent rules

(e^{x})^{2} - 11 e^{x} + 30 = 0

Rewrite the equation with

e^{x} = u

(u)^{2} - 11 u + 30 = 0

Solve

u^{2} - 11 u + 30 = 0 : u = 6, u = 5

u = 6, u = 5

Substitute back

u = e^{x},

solve for

x

Solve

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

Solve

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

x = ln (6), x = ln (5)

Popular Examples

7^{x} = 5

7^{x} = 3

7^{x} = 2

7^{x} = 1

8^{x+1}=2^{2x+3}

8^{x + 1} = 2^{2 x + 3}

Frequently Asked Questions (FAQ)

What is the answer to e^{2x}-11e^x+30=0 ?
The answer to e^{2x}-11e^x+30=0 is x=ln(6),x=ln(5)