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Topic

Logarithmic Expressions The general form of a logarithmic function is f x( ) = alogb x, with baseb, where b > 0, b 1, and a 0. 2.10.A.2 The way in which input and output values vary together have an inverse relationship in exponential and logarithmic functions. Output values of general-form exponential functions change proportionately as input values increase in equal-length intervals. However, input values of general-form logarithmic functions change proportionately as output values increase in equal-length intervals. Alternately, exponential growth is characterized by output values changing multiplicatively as input values change additively, whereas logarithmic growth is characterized by output values changing additively as input values change multiplicatively. 2.10.A.3 x f x( ) = logb x and g (x) = , where b > 0 and