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 ->  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


   

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.