SOLUTION: if logb 6 = 1/4, then log b 36= what?

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Question 626995: if logb 6 = 1/4, then log b 36= what?
Found 2 solutions by ewatrrr, fcabanski:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 ⇒ b%5E%281%2F4%29+=+6

 %28b%5E%281%2F4%29%29%5E2+=+6%5E2    ||  Squaring both sides of the Equation

Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
One of the rules of logs is that logb (x^y) = y*logb(x).


logb(6) = 1/4 and logb (36) = logb(6^2) = 2*logb(6) = 2*(1/4) = 2/4 = 1/2.

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