x)^x]^x = 3*3^1/2 What is the value of x

Question

^x = 3*3^1/2

What is the value of x

nocilis · Answer

^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

praveen_rao7 · Answer

I like your approach but I probably would have back solved it if I had to.

Thanks

Vijo · Answer

nocilis could you plz explain how you got 

x^x^x as x^x^2

4^4 cannot be 4^2?????????????

nocilis · Answer

Vijo:
I have expanded   ^x  and not x^x^x to  x^(x^2)

Vijo · Answer

Nocilis

I really cannot understand this plz expain...... how did you expand. It wud be great if you could write explaination.

Thanks,
Vijo.

HongHu · Answer

(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)

Paul · Answer

I loved this question. Learn the exponent properties as it could very likely be tested on the GMAT.

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