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belka [17]
2 years ago
8

If

Aand%5C%3A%20s-r%20%3D4" id="TexFormula1" title="log_8 N = \frac{r}{2} \: , \: log_2(2N)= 5\:and\: s-r =4" alt="log_8 N = \frac{r}{2} \: , \: log_2(2N)= 5\:and\: s-r =4" align="absmiddle" class="latex-formula"> Find N
Mathematics
2 answers:
Mekhanik [1.2K]2 years ago
7 0

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

_____

<em>Additional comment</em>

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

Rudik [331]2 years ago
4 0

Answer:

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

Step-by-step explanation:

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