“Have You Seen This One?”

From Pi Mu Epsilon Journal, November 1950:

(1/2)3 < (1/2)2.

Taking the logarithm to the base 1/2 of each member of the above inequality, we write

3 log1/2(1/2) < 2 log1/2(1/2).

But logbb = 1. Therefore

3 < 2.