How can you derive the formula of logarithmic growth? - Answers

I am assuming that by this you mean exponential growth (the inverse of logarithmic growth. This particular growth rate is the most common type of growth rate in most systems. The following is defined as: W=what you want Wo=what you have initially k=the rate at which the growth is proportional to t=time frame This growth system is based on the fact that what your final product is, is based on what you have at everytime (eg. population growth is proportional to how many people you have) Defined Mathematically dW/dt=kW Rearranging this dW/W=kdt Integrating yields ln(W/Wo)=k*(t(final)-t(initial)) Note: t initial is usually just zero. And if this is used the function is linear (but note the axis) raising both sides to the e (to eliminate the natural log) W/Wo=exp(k*(t(final)-t(initial))) or more commonly W=Wo*exp(k*(t(final)-t(initial))) Hope this helps!