Chapter 4

Chapter 4

1. 4.1: Logarithmic Functions

   • 4.3: Log Scales
     • 4.5: Exp. Equations Getting info from a Model
       • exponential equation
         • 8^x=512
       • logarithmic equation
         • log(x+1) - log x = 2
     • pH scale
       • 10^0 - 10^-14
   • logs undo exponents and vice versa
   • most common base for a log is 10

2. 4.2: Laws of Logs

   • 4.4: The Natural Exponential and Log. Functions
     • the natural log. function is the log function with base e
       • ln x = log e x
     • e= eulers number= 2.71828
     • continuously compounded interest
       • A(t) = Pe^rt
     • exponential growth
       • f(t) = Ce^rt
   • log a (AB) = log a A+log a B
   • log a (A/B) - log a A - log a B
   • log a A^c = Clog a A