12 terms

stacyleibyTEACHER

logarithmic function

The inverse of an exponential function

common logarithm

A logarithm of base 10

natural logarithm

A logarithm of base e

pH

A number from 0 to 14 representing the acidity or alkalinity of a solution

domain

The set of values of the independent variable for which the function or relation is defined (typically the x-values)

range

The output values in a function (typically the y-values)

Change of Base Formula

The formula that allows the evaluation of logarithmic expressions that are not of base 10 or e

Product Property of Logs

The property illustrated by log x + log y = log(xy)

Quotient Property of Logs

The property illustrated by log x - log y = log(x/y)

Power Property of Logs

The property illustrated by r•log x = log (x^r)

extraneous solution

A solution of a simplified version of an equation that is not a solution of the original equation

vertical asymptote

A vertical line that serves as a boundary for a region of a graph