Logarithms and Equations | AIME I, 2000 | Question 9

Try this beautiful problem from the American Invitational Mathematics Examination, AIME I, 2000 based on Logarithms and Equations. Logarithms and Equations – AIME I 2000 \(log_{10}(2000xy)-log_{10}xlog_{10}y=4\) and \(log_{10}(2yz)-(log_{10}y)(log_{10}z)=1\) and...

Theory of Equations | AIME I, 2015 | Question 1

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2015 based on Theory of Equations. Theory of Equations – AIME I, 2015 The expressions A=\(1\times2+3\times4+5\times6+…+37\times38+39\)and...

Probability in Games | AIME I, 1999 | Question 13

Try this beautiful problem from American Invitational Mathematics Examination I, AIME I, 1999 based on Probability in games. Probability in Games – AIME I, 1999 Question 13 Forty teams play a tournament in which every team plays every other team exactly once. No...