Problem
TxO Math Bowl 2024 - Individuals B - Problem 12
If x, y, and z are positive integers that satisfy
3^z + \log_3(16x+17) = y
\log_{27}(128) - y\log_{27}(2) = \log_3\left(\sqrt[3]{8x-5}\right) - 3^{z-1}
Find the sum of all possible values of x + y + z.
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