Chapter 3

Chapter 3

1. Toolkits: A.3,A.4

   • a^n
     • a=base n=exponent
   • 3^5
     • 3*3*3*3*3=243
   • rules
     • Product rule:multiply=add the exponents
     • Quotient Rule: Divide=subtract the exponents
     • power rule: raise a power to another power=multiply the exponents

2. logs

   • what exponent is needed to go from a base of "a", to value of "x"
     • Change of base: log(parenthesis)/log(base)
     • log6(36)=a
       • 6^a=36, base:6 solution:a=2

3. Comparing Linear and Exponential growth

   • rate of change:f(x+1)-f(x)

4. Exponential growth and decay

   • growth f(x)=Ca^x
   • Half Life: a=1/2
   • When given a % you must add 1 to the growth
     • Constant rate of Change=Slope
   • later/inital
     • more than 1=growth
       • less than 1=decay
   • Half life: The time it takes for half the atoms to decay

5. Compound Intrest

   • A=Pe^rt