if loga(b)=1/48 what is the value of logb(a^2) ?

Answer 1

b = a^(1/48)

logb(b) = 1 = logb (a^(1/48)) = (1/48)logb(a)
so
logb(a) = 48
2 logb(a) = 96
so
logb(a^2) = 96