Review question

Can we solve $\log_3 x + 2 \log_x 3 = -3$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7845

Question

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