How do you graph this logarithmic equation by rearranging it y=2log1/2x) the log base is 1/2

Question

Graph the logarithmic function y=2log1/2x . State it's domain and range.

Answer 1

The logarithmic equation is .

After rearranging, the function is written as,

.

Therefore, the equation is .

Make a table for the above equation.

x	0.5	1	1.5	2	2.5	3	3.5	4	4.5
y	2	0	-1.169	-2	-2.64	-3.169	-3.61	-4	-4.33

Draw the graph of the equation .

1.Draw a co-ordinate plane.

2.Plot the points.

3.Draw a smooth curve through this points.

Observe the above graph, domain of the function is all positive real numbers.