Exponential and Logarithmic Functions: Comparing Logarithmic and Exponential Functions

Properties of Logarithms

There are properties that can help you simplify logarithms. Analyze the following list:

For x , y, b > 0 and b ≠ 1

  1. Product Property

    logb(xy) = logbx + logby
     
  2. Quotient Property

    log base b of the quotient x divided by y equals log base b of x minus log base b of y
     
  3. Power Property

    logb xp = p logb X
     

  4. b raised to the power of log base b of x equals x
     
  5. logbb = 1
     
  6. logb1 = 0