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if x to power x to power x......upto infinity = 2 then find x...............I got my ans as (underroot 2)............but if I change the value from 2 to 4 or 6 or 8 ...............the ans is same ------(underroot 2).......the answer is both correct and wrong.........how is it possible???? see how i got my ans---- let x to power x to power x......upto infinity = y then x to power y = y y = 2 x squre = 2 x = uderoot 2 PLS CORRECT ME IF I AM WRONG!!!!!

if x to power x to power x......upto infinity = 2 then find x...............I got my ans as (underroot 2)............but if I change the value from 2 to 4 or 6 or 8 ...............the ans is same ------(underroot 2).......the answer is both correct and wrong.........how is it possible????

see how i got my ans----

let x to power x to power x......upto infinity = y

then x to power y = y
y = 2
x squre = 2
x = uderoot 2

PLS CORRECT ME IF I AM WRONG!!!!!

Grade:9

1 Answers

Mir Noaman Ali IIT-Roorkee
57 Points
13 years ago

IF WE EQUATE X POWER X POWER X AND SO ON UPTO INFINITY TO = n then x = nth root of n .. it accidently happens to be that 4th root of 4 = 2nd root of 2 that is why you are getting ambiguity 

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