Difference between revisions of "2013 AMC 12B Problems/Problem 22"
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Revision as of 16:01, 22 February 2013
Problem
Let 
and 
be integers. Suppose that the product of the solutions for 
of the equation
![\[8(\log_n x)(\log_m x)-7\log_n x-6 log_m x-2013 = 0\]](http://latex.artofproblemsolving.com/9/e/d/9ed979a6ee7a25bb3ea080fb639c4a09b05971ca.png)
is the smallest possible integer. What is 
?
$\textbf{(A)}\ 12\qquad\textbf{(B)}\ 20\qquad\textbf{(C)}\ 24\qquad\textbf{(D}}\ 48\qquad\textbf{(E)}\ 272$ (Error compiling LaTeX. Unknown error_msg)
