Can we solve $ \log_3 x + 2 \log_x 3 = -3$?

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1. If \(a\), \(b\) and \(c\) are any positive numbers not equal to unity, show that \[\begin{equation*} \log_b a \log_c b \log_a c = 1. \end{equation*}\]

How can we rewrite the equation \(\log_a b = c\) in a way that does not include logarithms?