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Popular >

e^{2x}-7e^x+12=0

Solution

e^{2 x} - 7 e^{x} + 12 = 0

Solution

x = 2 ln (2), x = ln (3)

+1

Decimal Notation

x = 1.38629 \dots, x = 1.09861 \dots

Solution steps

e^{2 x} - 7 e^{x} + 12 = 0

Apply exponent rules

(e^{x})^{2} - 7 e^{x} + 12 = 0

Rewrite the equation with

e^{x} = u

(u)^{2} - 7 u + 12 = 0

Solve

u^{2} - 7 u + 12 = 0 : u = 4, u = 3

u = 4, u = 3

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 4 : x = 2 ln (2)

Solve

e^{x} = 3 : x = ln (3)

x = 2 ln (2), x = ln (3)

Popular Examples

e^{m x} = 0

e^{x} + 1 = 0

solvefor n,f=p(1+i)^n solve for

n, f = p (1 + i)^{n}

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

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

2^{24} = (2^{y})^{3}

Frequently Asked Questions (FAQ)

What is the answer to e^{2x}-7e^x+12=0 ?
The answer to e^{2x}-7e^x+12=0 is x=2ln(2),x=ln(3)