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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