log base 4 of 8/log base 8 of 16
question is to simplify
can you rewrite it this way?
4^x = 8
---------
8^x = 16
that's a start. Now consider that
4 = 2^2
8 = 2^3
So,
log_4(8) = (1/2)log_2(8) = 3/2
log_8(16) = (1/4)log_2(16) = 4/3
(3/2)/(4/3) = 9/8