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Exponentials & Logarithms

Review question

Can we solve $ \log_3 x + 2 \log_x 3 = -3$?
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Ref: R7845

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Question

If \(a\), \(b\) and \(c\) are any positive numbers not equal to unity, show that \[\begin{equation*} \log_b a \log_c b \log_a c = 1. \end{equation*}\]
Find the values of \(x\) which satisfy the equation \[\begin{equation*} \log_3 x + 2 \log_x 3 = -3. \end{equation*}\]