## With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

No credit card required

# Chapter 8. Logarithms

• 8.1 Definition of the Logarithm

• 8.2 Common (Base Ten) and Natural Logarithm

• 8.3 Solving Equations with Logarithms or Exponents

• 8.4 Exponential Form and Logarithmic Form

• 8.5 Laws of Logarithms: Addition, Subtraction, Multiplication, Division, Power, and Radical

• 8.6 Examples: The Richter Scale, pH, and Radiometric Dating

# Definition of the Logarithm

• The logarithm of a number is the power to which a base number must be raised to equal that number.

• A logarithm is the inverse of an exponent.

• Each exponent has an inverse logarithm.

• Consider the following exponential equation (x and y represent numbers):

• x = ay

Where a is an integer and is the base of the exponent.

The inverse of this equation is:

• y = logax

Where a is the base of the logarithm. ...

## With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

No credit card required