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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 \(\frac{f(n)}{\log_{10} 2}\) in terms of \(n\).

 May 28, 2019
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The sum of the elements in the nth row of Pascal's Triangle  = 2^n

The base 10 log of this is

log 2^n  =  n log 2

 

So

 

f(n)               n log 2

____   =      ______    =    n

log 2             log 2

 

 

cool cool cool

 May 29, 2019

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