SOLUTION: How do I find the value of this logarithm? I'm really stuck and I need help. 8^(log(2,5))

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do I find the value of this logarithm? I'm really stuck and I need help. 8^(log(2,5))      Log On


   

Question 984057: How do I find the value of this logarithm? I'm really stuck and I need help.
8^(log(2,5))
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
8%5E%28log%282%2C5%29%29

%282%5E3%29%5Elog%282%2C5%29

2%5E%283%2Alog%282%2C5%29%29

2%5E%28log%282%2C%285%5E3%29%29%29-------the display might not be good here; that argument is five to the three power, inside the logarithm input location.

You should understand that exponential function and logarithm function (for equal bases) are inverses; that they undo each other. That is what happens here.

You generally have b%5Elog%28b%2Cv%29=v. According to this property, your last step is

highlight%285%5E3%29

125