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## Homework Statement

[tex]\sum^{n}_{r=1}(\lg \frac{2^r(r+1)}{r})=\sum^{n}_{r=1}[\lg 2^r+\lg (r+1)-\lg r][/tex]

## Homework Equations

## The Attempt at a Solution

i found the answer to be [tex](2^n-1)\lg 2 +\lg (n+1)[/tex]

Am i correct , or it can be further simplified ? Thanks .