Finding The Logs

Algebra Level 2

{a=logx2b=logx3c=logx5\large \begin{cases} a = \log_x 2 \\ b = \log_x 3 \\ c = \log_x 5 \end{cases}

What is the value of logx(1×2×3×4×5×6) \log_x (1\times2\times3\times4\times5\times6) in terms of aa, bb and cc as defined above?

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