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Logarithmic

Posted on: December 25th, 2013 by
1

Without using log tables or calculators, show that
\frac{1}{\log_2\pi}+\frac{1}{\log_5\pi}>2.

- via Moscow math Olympiad problems


One Response to Logarithmic

  1. kevin chen had this to say about that:

    The lhs=log_pi(2)+log_pi(5)=log_pi(10)>log_pi(pi^2)=2.

    We can see that 10>pi^2 by showing that 315^2<100000 which is doable by hand.


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