Surds and Indices

If 3^(x - y) = 27 and 3^(x + y) = 243, then x is equal to:

A 0

B 2

C 4

D 6

ANS:C - 4

3^x - y = 27 = 3³ x - y = 3 ....(i) 3^x + y = 243 = 3⁵ x + y = 5 ....(ii) On solving (i) and (ii), we get x = 4.

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