Let y(x) = A * x^a, for example A=30 and a=3.5. Taking the natural logarithm (ln) of both sides yields (using the common rules for logarithms):
ln(y) = ln(A * x^a) = ln(A) + ln(x^a) = ln(A) + a * ln(x).
Thus, a plot with logarithmic axes for both x and y will be a linear curve. The slope of this c...