Yaxn Log Graph. If y Ax n then the log-log plot is the graph of the straight line log y n log x log A So if the slope is the same the power n is the same in each case. Jun 09 2016 yAx n Taking log on both sides we get logy logxn log A A0y intercept when line passes through origin.
In a log-log graph both the x-axis and the y-axis are logarithmic. Unless there is also a way to find the gradient from the points straightaway. If you have a graph with a logarithmic y axis but ordinary x axis then a straight line log y log bx log a confirms a relationship of the form y ab x for suitable constants a and b.
At any time click on Show Tabular Data.
Log a n log x If we re-arrange this slightly we can compare it with your equation log y 15 log x 0. The numbers in the table above are related by an equation of the form y ax n Plot a graph of y against x on lo g log graph paper and find the values of a and n. In order to calculate the slope of a lo g log graph simply measure the Δ x and Δ y in millimetres dont look at. 0 69 and 35 0 gives 0.