1.

If `(2)^(2x-2)-(8)^(y-1)=(16)^(x-2.5)`, then find the sum of x and y.A. 8B. 7C. 9D. 6

Answer» Correct Answer - B
`(2)^(2x-2)=(8)^(y-1)=(16)^(x-2.5)`
`rArr (2)^(2x-2)=2^(3y-3)=2^(4x-10)`
`rArr(2)^(2x-2)=2^(4x-10)`
`2x-2=4x-10`
`rArr x=4`
`rArr 2^(3y-3)=2^(2xx4-2)=2^(8-2)=2^6`
`rArr 3y-3=6`
`rArr=3`
`therefore` The sum of x and y is 7.
Hence, the correct option is (b).


Discussion

No Comment Found

Related InterviewSolutions