if 3^(x+y) = 81 and 81^(x-y)= 3⁸ , then the find values of X and y respectively.
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Answer:
Given, 3x + y = 81
⇒ 3x + y = 34
⇒ x + y = 4 ...(i)
and 81x - y = 3 or (34)x - y = 3
⇒ x - y = 1/4
On solving the Eqs. (i) and (ii), we get
2x = 17/4 ⇒ x = 17/8
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