1)Prove that $\log_{b} a + \log_{c} b + \log_{a} c = \displaystyle{\frac{1}{\log_{a} b}} + \displaystyle{\frac{1}{\log_{b} c}} + \displaystyle{\frac{1}{\log_{c} a}}$

2)Prove that if $\log_{r} p = q$ and $\log_{q} r = p$, then $\log_{q} p = pq$

If you could point me in the right direction I should be able to take it from there.

Thanks again.