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Let \(f(n)\) be the base-10 logarithm of the sum of the elements of the n-th row in Pascal's triangle. Express \(\frac{f(n)}{\log 2}\) in terms of n

 Feb 28, 2018
 #1
avatar+109345 
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The sum of the elements in the nth row of Pascal's triangle  is just  2^n

 

So....

 

log 2^n  =  n*log(2)

 

So   f(n) =  n*log (2)

 

And    f(n) / log 2    =   n*log (2)  / log(2)     =    n

 

 

cool cool cool

 Feb 28, 2018
 #2
avatar+473 
+2

Thanks!

RektTheNoob  Mar 1, 2018

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