mundasingh123 wrote:Is ( (4^x)^ (5-3x))= 1?
(1) x is an integer.
(2) The product of x and positive integer y is not x.
In order for it to be true that (4^x)^(5x-3) = 1, either x=0 or 5x-3=0.
If 5x-3=0, then x = 3/5.
Question rephrased: Does x=0 or x=3/5?
Statement 1: x is an integer.
Thus, x≠3/5.
Since it's possible that x=0 or many other values, insufficient.
Statement 2: The product of x and positive integer y is not x.
xy ≠x.
Thus, x≠0.
Since it's possible that x=3/5 or many other values, insufficient.
Statements 1 and 2 combined:
x≠3/5 and x≠0.
Sufficient.
The correct answer is
C.
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