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यदि `2^(n-1)+2^(n+1)=320` है तो `n` का मान ज्ञात करें।

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यदि `2^(n-1)+2^(n+1)=320` है तो `n` का मान ज्ञात करें।
A. 6
B. 8
C. 5
D. 7
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Correct Answer - D
`2^(n-1)=2^(n+1)=320`
`implies2^(n-1)(1+2^(2))=320`
`implies2^(n-1)(1+2^(2))=320`
`implies2^(n-1)xx5=320`
`implies2^(n-1)xx5=320`
`implies2^(n-1)=320/5=64`
`implies(2)^(n-1)=(2)^(6)`
`impliesn=7`
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