Question

So....?

Switching to which base would allow you to easily reduce this down to the fraction 3/2 ?

log_4(8)

a) base 8
b) base 4
c) base 2
d) base 10

Answer 1

well base 2... since 4 = 2^2 and 8 = 2^3

the change of base formula is

\[\log_{a}(b) = \frac{\log(b)}{\log(a)}\]