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

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

Text Solution

Verified by Experts

The correct Answer is:
` 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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