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Popular >

e^{6x}-4e^{3x}+4=0

Solution

e^{6 x} - 4 e^{3 x} + 4 = 0

Solution

x = \frac{1}{3} ln (2)

+1

Solution steps

e^{6 x} - 4 e^{3 x} + 4 = 0

Apply exponent rules

(e^{x})^{6} - 4 (e^{x})^{3} + 4 = 0

Rewrite the equation with

e^{x} = u

(u)^{6} - 4 (u)^{3} + 4 = 0

Solve

Substitute back

u = e^{x},

solve for

x

Solve

x = \frac{1}{3} ln (2)

Popular Examples

400=100(1+2337)^X

400 = 100 (1 + 2337)^{X}

8^{3^{2x}}=512^{3^x}

8^{3^{2 x}} = 51 2^{3^{x}}

2 = 5^{x}

e^{- x} = 0.549

1 0^{5 x + 1} = 6^{x}

Frequently Asked Questions (FAQ)

What is the answer to e^{6x}-4e^{3x}+4=0 ?
The answer to e^{6x}-4e^{3x}+4=0 is x= 1/3 ln(2)