Solve for x: 5^{log x} + 3^{log x} = 3^{log x + 1} - 5^{log x - 1}.

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Solve the following equation:
log(3x + 2) + log(3x - 2) = 5log 2

Solve for x: log₃(x + 1) - 1 = 3 + log₃(x - 1)