SOLUTION: how do you evaluate log5(25sqrt(125)) 5 is the base of log

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Question 825914: how do you evaluate
log5(25sqrt(125))
5 is the base of log
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
log%285%2C%2825sqrt%28125%29%29%29

log%285%2C%285%5E2%2Asqrt%285%5E3%29%29%29

log%285%2C%285%5E2%2A%285%5E3%29%5E%281%2F2%29%29%29

matrix%282%2C1%2C%22%22%2Clog%285%2C%285%5E2%2A5%5E%283%2F2%29%29%29%29

matrix%282%2C1%2C%22%22%2Clog%285%2C%285%5E%282%2B3%2F2%29%29%29%29


matrix%282%2C1%2C%22%22%2Clog%285%2C%285%5E%284%2F2%2B3%2F2%29%29%29%29

matrix%282%2C1%2C%22%22%2Clog%285%2C%285%5E%287%2F2%29%29%29%29

That expression asks "To what power must I raise 5 to get matrix%282%2C1%2C%22%22%2C5%5E%287%2F2%29%29?
Answer:  "I must raise 5 to the 7%2F2 power to get  matrix%282%2C1%2C%22%22%2C5%5E%287%2F2%29%29, of course!
 
Therefore the answer to the problem is

       7%2F2

Edwin