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

• 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 = a

^{y}

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

The inverse of this equation is:

y = log

_{a}x

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

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