Numerical Log Problem

If a = log8225 and b = log215, then what’s a in terms of b?

  1. a = b/2
  2. a = 2b/3
  3. a = b
  4. b = a/2
  5. a = 3b/2


Show/Hide Solution

a = log8225
8a = 225 = 152
(23)a = 152
23a = 152
23a/2 = 15
b = log215
2b = 15
23a/2 = 2b
3a/2 = b
a = 2b/3.


The answer is (b).

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