What is the answer to k=\sqrt[ 1/k ]{64} ?

The answer to k=\sqrt[ 1/k ]{64} is No Solution for k\in\mathbb{R}

Solve for k: k=\sqrt[ 1/k ]{64}

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

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No Solution for k \in R

Solution steps

Prepare

for Lambert form:

e^{- 6 l n (2) k} k = 1

Rewrite the equation with

- 6 ln (2) k = u

and

k = - \frac{u}{6 ln ( 2 )}

e^{u} (- \frac{u}{6 ln ( 2 )}) = 1

Rewrite

e^{u} (- \frac{u}{6 ln ( 2 )}) = 1

in Lambert form:

e^{u} u = - 6 ln (2)

Solve

e^{u} u = - 6 ln (2) :

No Solution for

u \in R

No Solution for k \in R

(\frac{1}{3})^{1 - x} = 27

2^{31} = 1 0^{x}

6^{x - 1} = 7

3^{(2 x + 1)} = 7^{(x + 1)}

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

What is the answer to k=\sqrt[ 1/k ]{64} ?
The answer to k=\sqrt[ 1/k ]{64} is No Solution for k\in\mathbb{R}
Solve for k: k=\sqrt[ 1/k ]{64}
The solution is No Solution for k\in\mathbb{R}