Solve ` 2^(x+2)-2^(x+3) -2^(x+4) gt 5^(x+1) -5^(x+2)`.

1.	Solve ` 2^(x+2)-2^(x+3) -2^(x+4) gt 5^(x+1) -5^(x+2)`.
Answer» Correct Answer - ` x in (0, infty)` `2^(x+2)-2^(x+3) -2^(x+4) gt 5^(x+1) -5 ^(x+2)` ` rArr 2^(x)(4-8-16) gt 5^(x) (5 - 25)` ` rArr (2//5)^(x) lt 1` ` rArr (2//5)^(x) lt (2//5)^(0)` ` rArr x in (0, infty)`

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