Question

if x power x power x so on infinity times equals to 4 then x equals to ?​

Answer 1

Step-by-step explanation:

Step-by-step explanation:

$\huge\bf{\mid{\overline{\underline{ANSWER:-}\mid}}}$

$\huge\bold{GIVEN:-} \\ \\ {x}^{ {x}^{ {x}^{ {x}^{ { \cdots}^{ \infty } } } } } = 4$

$We \: \: know \: \: \\ \\ {x}^{ {x}^{ {x}^{ {x}^{ { \cdots}^{ \infty } } } } } = 4$

Now, Replace x to the power everything to 4

We'll get our equation as,

${x}^{ {x}^{ {x}^{ {x}^{ { \cdots}^{ \infty } } } } } = 4 \\ \\ {x}^{4} = 4 \\ \\ x = \sqrt[4]{4} \\ \\ \huge \boxed{ x = \sqrt{2} }$