# Manipulation of Logarithms

Level pending

$\begin{cases} \log(AB) = X \\ \log(A)\log(B) = Y \\ \log_{A}(B) - \log_{B}(A) = Z\end{cases}$

Given the above, find the value of: $$\log(B) - \log(A)$$ in terms of $$X$$ and $$Y$$ and $$Z$$.

×