3.45: Find p from combined logs

0606/21/O/N/24 — Question 5 · 5 marks · Log laws, Equations

Given that loga(p+1)+logaploga(p+2)+loga5=loga12\log_{a}(p + 1) + \log_{a} p - \log_{a}(p + 2) + \log_{a} 5 = \log_{a} 12, find the value of pp.
[5]