यदि `2^(x) + 3^(y) = 17` और ` 2^(x+2)-3^(y+1) = 5` है , तो x का मान क्या है ?

Options

A. 3
B. 2
C. 1
D. 0

Answer

A

Explanation

`:' 2^(x) + 3^(y) = 17 ` ...(i)
तथा ` 2^(x+2) - 3^(y+1) = 5 `
` rArr 4*2^(x) - 3*3^(y) = 5` ...(ii)
समी (i) व (ii) से,
` 2^(x) = 8" तथा "3^(y) = 9`
` rArr x = 3 " तथा " y = 2`