Question

If
`log_8 N = (r)/(2) \: , \: log_2(2N)= 5\:and\: s-r =4` Find N

Answer 1

N = 2
`(3r)/(2)`

Explanation:

Answer 2

N = 16

Explanation:

The only relevant given piece of information is ...

log2(2N) = 5

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

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

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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