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Prove That: `(2^N+2^(N-1))/(2^(N+1)-2^N)=3/2` - Mathematics

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ConceptLaws of Exponents for Real Numbers

Question

Prove that:

`(2^n+2^(n-1))/(2^(n+1)-2^n)=3/2`

Solution

We have to prove that `(2^n+2^(n-1))/(2^(n+1)-2^n)=3/2`

Let x = `(2^n+2^(n-1))/(2^(n+1)-2^n)`

`=(2^n(1+1xx2^-1))/(2^n(2^1-1))`

`=(1+1/2)/(2-1)`

`rArrx=3/2`

Hence, `(2^n+2^(n-1))/(2^(n+1)-2^n)=3/2`

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Solution Prove That: `(2^N+2^(N-1))/(2^(N+1)-2^N)=3/2` Concept: Laws of Exponents for Real Numbers.
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