# 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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