SOLUTION: find log 4 64

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Question 317778: find log 4
64
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let y=log%2864%2C%284%29%29. Now convert to exponential form to get 64%5Ey=4. We can rewrite 64 as 4%5E3 and 4 as 4%5E1 which means that %284%5E3%29%5Ey=4%5E%283y%29 and 4%5E%283y%29=4%5E1. Since the bases are equal, the exponents must be equal. So 3y=1. Solve for 'y' to get y=1%2F3. This then means that log%2864%2C%284%29%29=1%2F3