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Popular >

e^x=x^2

Solution

e^{x} = x^{2}

Solution

x = - 2 W_{0} (\frac{1}{2})

+1

Decimal Notation

x = - 0.70346 \dots

Solution steps

e^{x} = x^{2}

Take both sides of the equation to the power of

\frac{1}{2}

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

Simplify

(e^{x})^{\frac{1}{2}} : e^{\frac{x}{2}}

Simplify

(x^{2})^{\frac{1}{2}} : ∣ x ∣

Solve

e^{\frac{x}{2}} = ∣ x ∣ : x = - 2 W_{0} (\frac{1}{2})

x = - 2 W_{0} (\frac{1}{2})

Popular Examples

1 = 2^{x}

x^{x^{3}} = 36

3^{x} = 729

solvefor x,8^x=27^{2y}*36 solve for

x, 8^{x} = 2 7^{2 y} \cdot 36

25^x-20^x-16^x=0

2 5^{x} - 2 0^{x} - 1 6^{x} = 0

Frequently Asked Questions (FAQ)

What is the answer to e^x=x^2 ?
The answer to e^x=x^2 is x=-2\W_{0}(1/2)