What is the answer to e^x-2x=0 ?

The answer to e^x-2x=0 is No Solution for x\in\mathbb{R}

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e^x-2x=0

e^{x} - 2 x = 0

No Solution for x \in R

Solution steps

e^{x} - 2 x = 0

Prepare

e^{x} - 2 x = 0

for Lambert form:

1 = 2 x e^{- x}

Rewrite the equation with

- x = u

and

x = - u

1 = 2 (- u) e^{u}

Rewrite

1 = 2 (- u) e^{u}

in Lambert form:

e^{u} u = - \frac{1}{2}

Solve

e^{u} u = - \frac{1}{2} :

No Solution for

u \in R

No Solution for x \in R

4^{2 x} = 128

4 9^{1 - x} = 7^{x}

x, 2^{x} = 2 y

x, 2^{x} = 14

4^{x} 5^{x + 1} = 1 2^{2 x - 1}

What is the answer to e^x-2x=0 ?
The answer to e^x-2x=0 is No Solution for x\in\mathbb{R}