4.1- 4.4

4.1- 4.4

1. change of base formula: Log base a (x)/log base a (b)

   • log base 11 (355) =x: log (355)/log (11) = 2.449

2. pH formula: ex: pH= -log(3.16 x 10^-8)= 7.5

   • [H+]= 3.16 x 10^-8 in the example above

3. The decibel Scale: S= k * log (I/Ibase 0)

4. Natural exponential function: f(x)= e^x

   • Natural Logarithm function: f(x)= ln(x) = log base e (x)

5. e and ln are inverses

6. exponential growth and decay: f(t)= Ce^r(t) use only when the word instantaneous is in the problem