Chapter 9 - Exponential and Logarithmic Relations

x intercept

The ________ is 1- The composites of the exponential and logarithmic functions are the identity function.

positive real numbers

The domain is the set of all ________ 3.

Exponential function

𝑦 = 𝑎𝑏^x; b is the base

Exponential growth

the base of an exponential growth function is a number greater than 1

Exponential decay

the base of an exponential decay function is a number greater than 0 but less than 1

Exponential equations

equations in which variables occur as exponents

Logarithm

the inverse of 𝑦 = 𝑏^𝑥 is 𝑥 = 𝑏^𝑦

Logarithmic equation

an equation that contains one or more logarithms

Logarithmic inequality

an inequality that involves logarithms

Common logarithms

base 10 logarithms

Change of Base Formula

for all positive numbers a, b and n, where a =/= 1 and b =/= 1

The natural logarithm

the logarithm with base e