Question

If x and y are positive integers and 4(2^x)=2^y what is x in terms of y

Answer 1

Dividing by
`2^x` gives:


`(2^y)/(2^x) = 4`

Using basic rules of exponents, we have:


`2^(y-x) = 4`

Taking the logarithm with base two gives:


`y-x = 2`

Then, adding
`x-2` to both sides gives:


`x=y-2`

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