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y = log a x. To undo log take exponential. y = a x. y. To undo exponential take log. y. (a,1). log a 1 = 0. a 0 = 1. (1,a). (0,1). log a a = 1. x. (1,0). a 1 = a. x. Basic log graph. Basic exponential graph. log A + log B = log AB . A. log A - log B = log . B.

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  1. y = logax To undo log take exponential y = ax y To undo exponential take log y (a,1) loga1 = 0 a0 = 1 (1,a) (0,1) logaa = 1 x (1,0) a1 = a x Basic log graph Basic exponential graph log A + log B = log AB A log A - log B = log B 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 log y log y log y = b log x + log a log y = x log b + log a (0,C) (0,C) Y = mX + C Y = mX + C log x x Y = bX + C Y = (log b) X + C C = log a m = b C = log a m = log b

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