Question

How do I find an exponential growth function in terms of `t`?

Answer 1

If y(t) is the function that might have exponential growth, the plots of data {(t, y)} on a semi-log graph paper, that plots log y against t, the points will be in the proximity of a straight line.

Explanation:

Let y= `a b^t`.
Then Y = log y = log a + t log b.
The form is Y = m t + c.

The graduation on the log scale will be n units for log `10^n`, n = 1, 2, 3, ...The origin is for log 1....