Question

if x^x^x so on upto infinity times equals to 2 then x is​

Answer 1

Step-by-step explanation:

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

$\huge\bold{GIVEN:-} \\ \\ {x}^{ {x}^{ {x}^{ {x}^{ { \cdots}^{ \infty } } } } } = 2$

$We \: \: know \: \: \\ \\ {x}^{ {x}^{ {x}^{ {x}^{ { \cdots}^{ \infty } } } } } = 2$

Now, Replace x to the power everything to 2

We'll get our equation as,

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