Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2002 AIME I Problems/Problem 6

Revision as of 15:31, 25 September 2007 by 1=2 (talk | contribs) (→‎Problem)

Problem

The solutions to the system of equations

\[\log_{225}x+\log_{64}y=4\]

\[\log_{x}225-\log_{y}64=1\]

are $(x_1,y_1)$ and $(x_2,y_2)$. Find $\log_{30}\left(x_1y_1x_2y_2\right)$

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2002_AIME_I_Problems/Problem_6&oldid=16903"