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Exponent

by oldheaven » Sun Dec 18, 2011 4:04 pm
x^x^x^.... =4 .(the number of "x" is infinite),determine the value of "X":

1)sqrt(2)
2)cubic root of 4
3)2
4)2*cubic root of 2
Last edited by oldheaven on Mon Dec 19, 2011 3:47 am, edited 1 time in total.
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by neelgandham » Sun Dec 18, 2011 4:17 pm
Old heaven: Are you sure that this question is a complete question??
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by tomada » Sun Dec 18, 2011 4:21 pm
oldheaven wrote:x^x^x^.... .(the number of "x" is infinite),determine the value of "X":

1)sqrt(2)
2)cubic root of 4
3)2
4)2*cubic root of 2
I'm going to go "off the board" with choice (5), "Winston Churchill"
I'm really old, but I'll never be too old to become more educated.
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by oldheaven » Mon Dec 19, 2011 1:47 am
neelgandham wrote:Old heaven: Are you sure that this question is a complete question??
yes,it's a complete and absolutely very challenging question.
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by neelgandham » Mon Dec 19, 2011 1:59 am
x^x^x^.... .(the number of "x" is infinite),determine the value of "X" sounds incomplete to me.
x can be 0
x can be 1
x can be 2 and any number.

Is the question

If x = x^x^x^.... .(the number of "x" is infinite),determine the value of "x" ?
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by oldheaven » Mon Dec 19, 2011 3:46 am
sorry,I forgot something in the question, x^x^x^.... =4.
by the way according to the definition X can not be zero!
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by neelgandham » Mon Dec 19, 2011 4:05 am
oldheaven wrote:sorry,I forgot something in the question, x^x^x^.... =4.
by the way according to the definition X can not be zero!
That makes it complete and easy(If I am correct ;))!

Let A = x^x^x^........ = 4
Implies x^A = 4
Implies x^4 = 4
Implies x = √2
IMO Option A
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by oldheaven » Mon Dec 19, 2011 9:19 am
neelgandham wrote:
oldheaven wrote:sorry,I forgot something in the question, x^x^x^.... =4.
by the way according to the definition X can not be zero!
That makes it complete and easy(If I am correct ;))!

Let A = x^x^x^........ = 4
Implies x^A = 4
Implies x^4 = 4
Implies x = √2
IMO Option A
you are so smart neelgandham. thank you buddy :wink:
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