Math 105-02: Calculus I: Reading Homework 1.6--1.7

1. Logarithms : what do logarithm functions do for us?
   
   1. Logs and Bases : what is the base of a logarithm? how is it related to the definition of the log?
      
      1. Properties : what properties are there of logarithms?
         
      2. Solving equations : explain the steps to solve 2(3)^t=25
         
   2. Graphs : what does the graph of log(x) look like? how is it related to the graph of 10^x?
      
      1. Logs and Power Functions : what is true about logs and power functions for large values of x?
         
2. e and Natural Logarithms : what is e? why is it important?
   
   1. the Natural Logarithm : what is the natural logarithm?
      
      1. Properties : what properties does the natural logarithm have? how are these related to those of the common log (base 10)?
         
   2. Natural and other Exponentials :
      
      1. Growth and decay : when is an exponential with base e growing? decaying?
         
      2. a^t and e^kt : how can these functions be related?