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AoPS Wiki:Problem of the Day/September 16, 2011

< AoPS Wiki:Problem of the Day
Revision as of 17:23, 16 September 2011 by Negativebplusorminus (talk | contribs) (Created page with "When the equation <cmath>13^3x+13^x=10</cmath> is solved for <math>x</math>, the result is <math>x=\log_{a}b</math>, where <math>a</math> and <math>b</math> are positive integers...")
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When the equation \[13^3x+13^x=10\] is solved for $x$, the result is $x=\log_{a}b$, where $a$ and $b$ are positive integers and $a$ is not a multiple perfect power other than $1$. Find $(a+b)(a^2-ab+b^2)$.

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