Logarithms and Exponents
Miscellaneous
Taking the derivatives of any log base we use the change of base formula:
Log Differentiation:
Given 
find 
Continuous growth or decay:
For word problems dealing with continuous growth or decay, the formula used is:
Where:
y = final value of the variable
C = the initial value of the variable
e = continuous growth
k = the proportionality constant
t = the time elapsed.
(These will usually be solved with the use of a calculator)
For example:
The initial population of city A is 25,000. The population in five years is 29,400. Find the growth rate k.
3.24%
