Question
If `2^(x-1) + 2^(x+1)` = 1280, then find the value of `x` .
Answer: Option A
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Sol. `2^(x - 1) + 2^(x + 1)` = 1280
`hArr 2^(x -1) (1 + 2^2) = 1280`
`hArr 2^(x - 1) = 1280/5`
`hArr 2^(x - 1) = 256 = 2^8`
`hArr x - 1 = 8`
`hArr x = 9`
Hence x = 9.
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