Hi,
The question is as follows:
(Two quantities Q and H are believed to be related by the equation Q=kH^(n). The experimental values obtained for Q and H are shown below:
Q = 0.16 0.20 0.27 0.34 0.40 0.47 0.55
H = 1.14 1.78 3.24 5.14 7.11 9.82 13.44
Determine the law connecting Q and H, showing on your graph the point of interception and the gradient.)
Ok so I understand so far that I have to use the laws of logs to reduce a "law" of the type y=ax^(n) to straight line form and after this using, log graph paper, i gotta plot the graph and get the values for constants a and n. However, I kinda dont know where to start. In my notes it says i need to "take logs to both sides of the equation so that it becomes log y = log (ax)^(N) and log y = log a + log x^(n)" but thats as far as my understanding goes. If anyone could guide me in the right direction for this question and help my understanding that would be great. Thanks alot.