Find max value?
Algebra
Level
4
\[ \large a^2 b^3 c^4 \]
Let \(a,b\) and \(c\) be non-negative real numbers satisfying \(a+b+c=9\). If the maximum value of the expression above can be expressed as \(2^x 3^y\), where \(x\) and \(y\) are integers, find \(\log_{10} x^y \).
by
Sanath Balaji