What is the answer to \sqrt[x]{9}=\sqrt[9]{x} ?

The answer to \sqrt[x]{9}=\sqrt[9]{x} is x=9

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Popular >

\sqrt[x]{9}=\sqrt[9]{x}

Solution

x = 9

Solution steps

Prepare

for Lambert form:

1 = x e^{- \frac{18 l n ( 3 )}{x}}

Rewrite the equation with

\frac{18 ln ( 3 )}{x} = u

and

x = \frac{18 ln ( 3 )}{u}

1 = (\frac{18 ln ( 3 )}{u}) e^{- u}

Rewrite

1 = (\frac{18 ln ( 3 )}{u}) e^{- u}

in Lambert form:

u e^{u} = 18 ln (3)

Solve

u e^{u} = 18 ln (3) : u = 2 ln (3)

Verify Solutions:

u = 2 ln (3)

True

The solution is

u = 2 ln (3)

Substitute back

u = \frac{18 ln ( 3 )}{x},

solve for

x

Solve

\frac{18 ln ( 3 )}{x} = 2 ln (3) : x = 9

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

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9^{x} + 3^{x + 1} = 28

9*3^x= 1/27

9 \cdot 3^{x} = \frac{1}{27}

8^{x+4}=32^{3x}

8^{x + 4} = 3 2^{3 x}

Frequently Asked Questions (FAQ)

What is the answer to \sqrt[x]{9}=\sqrt[9]{x} ?
The answer to \sqrt[x]{9}=\sqrt[9]{x} is x=9
Solve for x: \sqrt[x]{9}=\sqrt[9]{x}
The solution is x=9

\sqrt[x]{9}=\sqrt[9]{x}

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to \sqrt[x]{9}=\sqrt[9]{x} ?

Solve for x: \sqrt[x]{9}=\sqrt[9]{x}