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Director
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x)^x]^x = 3*3^1/2 What is the value of x [#permalink]
 25 Jan 2005, 19:21
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[ (x)^x]^x = 3*3^1/2
What is the value of x
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Director
Joined: 19 Nov 2004
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[ (x)^x]^x = 3*3^1/2
x^(x^2)= 3^1/2* 3^1/2 * 3 ^1/2
= (3^1/2) ^3
= (3^1/2)^ (3^1/2)^2
=> x = 3^1/2
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Director
Joined: 25 Jan 2004
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I like your approach but I probably would have back solved it if I had to.
Thanks
_________________
Praveen
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Manager
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nocilis could you plz explain how you got
x^x^x as x^x^2
4^4 cannot be 4^2?????????????
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Director
Joined: 19 Nov 2004
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Vijo:
I have expanded [ (x)^x]^x and not x^x^x to x^(x^2)
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Manager
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Nocilis
I really cannot understand this plz expain...... how did you expand. It wud be great if you could write explaination.
Thanks,
Vijo.
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SVP
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(x^a)^b=x^(a*b)
For example, (2^2)^3=2^6
So in our case
(x^x)^x=x^(x*x)=x^(x^2)
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GMAT Club Legend
Joined: 15 Dec 2003
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I loved this question. Learn the exponent properties as it could very likely be tested on the GMAT.
_________________
Best Regards,
Paul
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