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If 2^(2n-3)=2048 , then (4n+3n^2)= ....

If `2^(2n-3)=2048` , then `(4n+3n^2)=` _____.

A

175

B

25

C

125

D

75

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `2^(2n-)=2048`
`rArr (2^2n)/(8)=2^11`
`rArr 2^2n=2^11 xx2^3=2^14`
`rArr n=7`
`therefore (4n+3n^2)`
`=(4xx7+3xx7^2)=175`.
Hence , the correct option is (a).
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