Question

How do you make a table to graph `g(x)=(5/8)^x`?

Answer 1

Plot G=log g (instead of g) against x in a semi-log graph paper. The unit-wise graduations on G-axis will be 1 at origin followed by `10^n`, n=1,2,3,.. The graph is straight line.

Explanation:

The equation for the graph on the semi-log paper is G = mx, where m = log (5/8) = the slope of the straight line.

The unit-wise graduations on G-axis will be 1 at origin followed by `10^n`, n=1,2,3,.. The graph is straight line.

x: 1 2 3 4.......
G:m 2m 3m 4m...