Solving a Logarithm Inequality: Log vs Fraction atypicalquantApril 4, 2022January 4, 2024Solve the following logarithm inequality: which number is higher: or ? Read More »Solving a Logarithm Inequality: Log vs Fraction
Decoding IMO 1985’s Simplest Geometry Problem atypicalquantJuly 18, 2021January 4, 2024A circle has its center on the side AB of the cyclic quadrilateral ABCD. The other three sides are tangent to the circle. Prove that AD + BC = AB Read More »Decoding IMO 1985’s Simplest Geometry Problem
Solving IMO 1984’s Easiest Math Problem atypicalquantJune 27, 2021January 4, 20242 CommentsProve that , where x, y, z are positive real numbers for which . This problem comes from the line-up at IMO 1984 Read More »Solving IMO 1984’s Easiest Math Problem
or 
? 
, where x, y, z are positive real numbers for which 
. This problem comes from the line-up at IMO 1984