If logp(q)=m\log_p(q) = mlogp(q)=m and logq(r)=n\log_q(r) = nlogq(r)=n, express logp(r)\log_p(r)logp(r) in terms of mmm and nnn.
logp(r)=mn\log_p(r) = mnlogp(r)=mn
logp(r)=m/n\log_p(r) = m/nlogp(r)=m/n
logp(r)=mn\log_p(r) = \frac{m}{n}logp(r)=nm or logp(r)=m+n\log_p(r) = m + nlogp(r)=m+n depending on the bases
logp(r)=m+n\log_p(r) = m + nlogp(r)=m+n