SOLUTION: hi can you please help me with this log? log of base 1/2(16)is equal to -4. how is that possible?? please show me how you can get that answer.

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: hi can you please help me with this log? log of base 1/2(16)is equal to -4. how is that possible?? please show me how you can get that answer.      Log On

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Question 443967: hi can you please help me with this log? log of base 1/2(16)is equal to -4. how is that possible?? please show me how you can get that answer.
Answer by poliphob3.14(115) About Me  (Show Source):
You can put this solution on YOUR website!
log%281%2F2%2C+16%29=-4, because by definition we have:%281%2F2%29%5E-4=16, operating
on the left side we get:%282%5E%28-1%29%29%5E-4=16 or 2%5E4=16 and 16=16.