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value of xy

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by nidhis.1408 » Wed Oct 31, 2012 8:56 pm
What is the value of xy?
(1) 3^x∗5^y=75

(2) 3^((x−1)(y−2))=1

I found the solution to this problem very complicated. According to me the answer was A but the solution given is C.
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by Anurag@Gurome » Wed Oct 31, 2012 9:13 pm
nidhis.1408 wrote:What is the value of xy?
(1) 3^x∗5^y=75

(2) 3^((x−1)(y−2))=1

I found the solution to this problem very complicated. According to me the answer was A but the solution given is C.
(1) 3^x * 5^y = 75
3^x * 5^y = 3 * 5²
Comparing both the sides (since bases on both sides are the same), we get, x = 1, and y = 2; SUFFICIENT.

(2) 3^((x−1)(y−2)) = 1 is clearly NOT sufficient to find the values of x and y.

The correct answer is A.
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