Let $m>1$ and $n>1$ be integers. Suppose that the product of the solutions for $x$ of the equation $$ 8(\log_n x)(\log_m x)-7\log_n x-6 \log_m x-2013 = 0 $$is the smallest possible integer. What is $m+n$?
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Let $m>1$ and $n>1$ be integers. Suppose that the product of the solutions for $x$ of the equation $$ 8(\log_n x)(\log_m x)-7\log_n x-6 \log_m x-2013 = 0 $$is the smallest possible integer. What is $m+n$?
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Let $m>1$ and $n>1$ be integers. Suppose that the product of the solutions for $x$ of the equation $$ 8(\log_n x)(\log_m x)-7\log_n x-6 \log_m x-2013 = 0 $$is the smallest possible integer. What is $m+n$?
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