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why use a log log graph i wonder this myself so i sat down and thought about it if you have an output called capital y which is the log of your actual output and you have a input capital x which is the log of the actual input x then youre basically writing y equals mx plus b for y being the log of little y and the x being the log of little x the benefit to this is you can rewrite it and do 10 raised to both sides and we break it up with 10 to the b put that in front 10 to the log of x to the a is just x to the a 10 to the b we could rename c and y equals c x to the a thats a power function thats any power function you could have y equals 10x squared 4x cubed 5 over x 100 over the square root of x any power function like that can be described in this way the real advantage is when you plot it on here you will get a straight line for your power function and so if you have like data from a lab experiment you can perform the least squares regression for best fit of a line and thats the