Memory Unit 4Version en ligne Unit 4: Exponential and Logarithmic Functions and Equations par BRITTANY AUCEDA The logarithm base b of a positive number x is defined as follows: logbx = y, if and only if x = b^y. Logarithmic function A line that a graph approches as x or y increases in absolute value. Natural Base Exponential Function Exponential Parent Functions Logarithm Logarithmic parent function Decay Function The inverse of an exponential function. A natural base exponential function is an exponential functio with base e. Asymptote The exponential parent functions are functions of the form y = b^x, where x is a real number, b > 0, and b ≠ 1. Logarithmic equation A function with the general form y=ab^x, a ≠ 0, with b > 0, and b ≠ 1. A logarithmic equation is an equation that includes a logarithm involving a variable. Growth Factor An exponential equation contains the form bcx, with the exponent including a variable. Natural logarithm function n an exponential growth function y = ab^x, with a > 0 and b > 1, the value b is the growth factor. Exponential Function The simplest example of a logarithmic function is the logarithmic parent function, written f(x) = logb(x), where b is a positive real number, b ≠ 1. Exponential equation A natural logarithm function is a logarithm function with base e. The natural logarithm function, y = ln x, is y = loge x. It is the inverse of y = ex. In an exponential decay function y=ab^x, with a > 0 and 0 < b < 1, the value b is the decay factor.
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