What is the answer to x^{x^{55}}=12100 ?

The answer to x^{x^{55}}=12100 is x=\sqrt[55]{110}

Solve for x: x^{x^{55}}=12100

The solution is x=\sqrt[55]{110}

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x^{x^{55}} = 12100

Decimal Notation

x = 1.08922 \dots

Solution steps

x^{x^{55}} = 12100

Prepare

x^{x^{55}} = 12100

for Lambert form:

x e^{- \frac{2 l n ( 110 )}{x ^{55}}} = 1

Rewrite the equation with

\frac{2 ln ( 110 )}{x ^{55}} = u

and

Solve

u = \frac{ln ( 110 )}{55}

Substitute back

u = \frac{2 ln ( 110 )}{x ^{55}},

solve for

x

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What is the answer to x^{x^{55}}=12100 ?
The answer to x^{x^{55}}=12100 is x=\sqrt[55]{110}
Solve for x: x^{x^{55}}=12100
The solution is x=\sqrt[55]{110}