e ,
logb pq = logb p + logb q
Rationalised 2023-24
CONTINUITY AND DIFFERENTIABILITY
129
A particularly interesting and important consequence of this is when p = q In
this case the above may be rewritten as
logb p2 =  logb p + logb p = 2 log p
An easy generalisation of this (left as an exercise ) is
logb pn = n log p
for any positive integer n