What is the answer to x^{x^{77}}=77 ?

The answer to x^{x^{77}}=77 is x=\sqrt[77]{77}

Solve for x: x^{x^{77}}=77

The solution is x=\sqrt[77]{77}

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Popular >

x^{x^{77}} = 77

x = 7777

Decimal

x = 1.05803 \dots

Solution steps

x^{x^{77}} = 77

Prepare

x^{x^{77}} = 77

for Lambert form:

x e^{- \frac{l n ( 77 )}{x ^{77}}} = 1

Rewrite the equation with

\frac{ln ( 77 )}{x ^{77}} = u

and

x = 77 \frac{ln ( 77 )}{u}

77 \frac{ln ( 77 )}{u} e^{- u} = 1

Solve

77 \frac{ln ( 77 )}{u} e^{- u} = 1 : u = \frac{ln ( 77 )}{77}

u = \frac{ln ( 77 )}{77}

Substitute back

u = \frac{ln ( 77 )}{x ^{77}},

solve for

x

Solve

\frac{ln ( 77 )}{x ^{77}} = \frac{ln ( 77 )}{77} : x = 7777

x = 7777

0.2 5^{2 x - 1} = 8^{x + 3}

e^{x^{2} - 3} = e^{x - 2}

3^{2 x} = 80

- e^{- x} + 3 e^{3 x} = 0

2^{3 x} = 8

What is the answer to x^{x^{77}}=77 ?
The answer to x^{x^{77}}=77 is x=\sqrt[77]{77}
Solve for x: x^{x^{77}}=77
The solution is x=\sqrt[77]{77}