SOLUTION: Log base2 of 3 =a find the value oflog base 8 of 27

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Question 1058847: Log base2 of 3 =a find the value oflog base 8 of 27
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
I am assuming the problem is to find log base8 of 27, in terms of a.
log2%283%29+=+a++ so
+log8%283%29+=+a%2F3+ because 8^(a/3) = (2^3)^(a/3) = 2^(a)
Therefore:
+log8%2827%29+=+log8%283%5E3%29+=+3%2Alog8%283%29+=+3%2A%28a%2F3%29+=+a+