What is the answer to x=3^x ?

The answer to x=3^x is No Solution for x\in\mathbb{R}

The solution is No Solution for x\in\mathbb{R}

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Popular >

x=3^x

x = 3^{x}

No Solution for x \in R

Solution steps

x = 3^{x}

Prepare

x = 3^{x}

for Lambert form:

x e^{- l n (3) x} = 1

Rewrite the equation with

- x ln (3) = u

and

x = - \frac{u}{ln ( 3 )}

(- \frac{u}{ln ( 3 )}) e^{u} = 1

Rewrite

(- \frac{u}{ln ( 3 )}) e^{u} = 1

in Lambert form:

e^{u} u = - ln (3)

Solve

e^{u} u = - ln (3) :

No Solution for

u \in R

No Solution for x \in R

25 6^{2 x - 3} = 1

b, (x a)^{b} = x^{b} a^{b}

e^{l n (2 x)} = 16

3^{6 x - 3} = 81

2^{x} - 2^{x + 12} = - 12

What is the answer to x=3^x ?
The answer to x=3^x is No Solution for x\in\mathbb{R}
Solve for x: x=3^x
The solution is No Solution for x\in\mathbb{R}