Because log 10 100 = 2 \log _{ 10 }{ 100 } =2

Calculus Level 3

Compare A = x = 1 a ( log a ( x ) 1 ) 2 \displaystyle A= \sum _{x=1}^a \left(\log _{\sqrt a}(x) -1\right)^2 and B = a 2 B=\dfrac a2 .

Inspiration.

P/S: Thanks for the reports. I had this idea when I was reading one of them.

A = B A=B A < B A<B It depends on a a A > B A>B

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