Question

If $log_8 N = \frac{r}{2} \: , \: log_2(2N)= 5\:and\: s-r =4$ Find N

Answer 1

Answer:

N = 2$\frac{3r}{2}$

Step-by-step explanation:

Answer 2

Answer:

  N = 16

Step-by-step explanation:

The only relevant given piece of information is ...

  log2(2N) = 5

  2N = 2^5 = 32 . . . . . take antilogs

  N = 16 . . . . . . . . . divide by 2

_____

Additional comment

From log8(N) = r/2, you have log8(N^2) = r, or ...

  r = log((2^4)^2)/log(2^3) = 8/3

and ...

  s = 4 +r = 20/3