Finding The Logs

Algebra Level 2

\[\large \begin{cases} a = \log_x 2 \\ b = \log_x 3 \\ c = \log_x 5 \end{cases} \]

What is the value of \( \log_x (1\times2\times3\times4\times5\times6) \) in terms of \(a\), \(b\) and \(c\) as defined above?

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