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Master Math: Basic Math and Pre-Algebra by Debra Anne Ross

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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. ...

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