y = logax y = ax a0 = 1 a1 = a y = axb y = abx To undo log take exponential y = ax y x To undo exponential take log y x (a,1) loga1 = 0 (1,a) a0 = 1 (0,1) logaa = 1 (1,0) a1 = a Basic log graph Basic exponential graph log A + log B = log AB log A - log B = log B A log (A)n = n log A Logs & Exponentials Basic log rules y = axb Can be transformed into a graph of the form y = abx Can be transformed into a graph of the form (0,C) log y log x (0,C) log y x log y = x log b + log a log y = b log x + log a Y = mX + C Y = mX + C Y = (log b) X + C Y = bX + C C = log a m = log b C = log a m = b