Find the approximate value of x, for this equation to be satisfied: xxxxx−

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Find the approximate value of x, for this equation to be satisfied:

x^{x^{x^{x^{x}}}} - 4 = 0

. Given that

(a^{m})^{n} = a^{m n}

Options:

A . 1.41

B . 1.92

C . 1.54

D . 1.732

Answer: Option A
:
A
Go from answer options
If x =1.41 =

\sqrt{2}

then we get

{\sqrt{2}}^{{\sqrt{2}}^{{\sqrt{2}}^{{\sqrt{2}}^{\sqrt{2}}}}} = 4

Hence the equation is satisfied.

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