Logarithmic Functions Recall if a > 0 and a 6 = 1, then y = a x is a one-to-one increasing or decreasing function. The inverse of y = a x is the logarithmic function with base a , written Note that y = log a ( x ) if and only if Sketch the graph f ( x ) = a x , a > 1, and its inverse function f ± 1 ( x ) = log a ( x ).

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