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GMAT Data Sufficiency (DS) | Re: DS- solve for x

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seabhi wrote:

Bunuel wrote:
kp1811 wrote:
Is (4^x)^{(5-3x)}=1?
(1) x is an integer.
(2) The product of x and positive integer y is not x.


First of all (4^x)^{(5-3x)}=4^{x*(5-3x)}

This expression to be equal to1 ,x*(5-3x) must be equal to0 .

x*(5-3x)=0 x=0 orx=\frac{5}{3} .

So basically the question asks isx=0 orx=\frac{5}{3} .

(1) x is an integer, hence x is not 5/3. But we don't know whether x is 0 or any other integer. Not sufficient.

(2)xy\neq{x} , hence x is not equal to 0. But x can
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