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Popular >

e^{2x}-e^x=56

Solution

e^{2 x} - e^{x} = 56

Solution

x = 3 ln (2)

+1

Solution steps

e^{2 x} - e^{x} = 56

Apply exponent rules

(e^{x})^{2} - e^{x} = 56

Rewrite the equation with

e^{x} = u

(u)^{2} - u = 56

Solve

u^{2} - u = 56 : u = 8, u = - 7

u = 8, u = - 7

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 8 : x = 3 ln (2)

Solve

e^{x} = - 7 :

No Solution for

x \in R

x = 3 ln (2)

Popular Examples

e^{x} = 1 - x

8^{x} = 1 6^{3 x + 9}

e^{2 x} = \frac{1}{2}

e^{2 x} = \frac{1}{9}

73 = 1 3^{x}

Frequently Asked Questions (FAQ)

What is the answer to e^{2x}-e^x=56 ?
The answer to e^{2x}-e^x=56 is x=3ln(2)