If log_5(9) = 1.365 and log_5(2)=0.431, then what is log_5(24)?

Question

How to find the solution for this one?

Answer 1

Rules of logarithm
if log(a)=x, then log(a^2)=2x, ... log(a^n)=n×log(a)

Similarly,
if log(a)=x, then log(√a)=(1/2)x...

Answer 2

so, log 24 = (1/2) log9 + 3 log2