Algebra 2 Topic 6 Vocabulary (copy)

decay factor

the quantity b in the exponential function y=ab^x with a>0 and 0<b<1

exponential decay function

when an initial amount decreases by the same percent over a given period of time

exponential function

a function of the form f(x) = ab^x, where a and b are real numbers with a ≠ 0, b>0, and b ≠ 1

exponential growth function

when an initial amount increases by the same percent over a given period of time

growth factor

the quantity b in the exponential function y=ab^x with a>0 and b>1

common logarithm

a logarithm with base 10

logarithmic function

the inverse of an exponential function

natural logarithm

a logarithm with base e

change of base formula

used to change a logarithm with one base to a logarithm to another base

exponential equation

an equation that contains one or more exponential expressions

logarithmic equation

an equation that contains one or more logarithms