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 = 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. ...