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