Question

14. Given:

x	1	2	3	4	5	6
y	1	0.574	0.415	0.330	0.276	0.238

a) Find the logarithmic function that relates y and x. 14a_____________________ (Round to three decimal places as needed)

b) Then find a function that relates y in terms of x. 14b.____________________

Answer 1

Find the slope of the line, by using any two values of in the above table.

Let .(x1,y1) = (0,0) and (x2,y2) = (0.693, -0.555)

The slope of the line

m = (-0.555-0)/(0.693-0)

m = -0.8008

Substitute m= -0.8008 in equation .

ln Y= 4/5lnX

lnY-4/5lnX = 0

The logarithmic equation is

lnY-4/5lnX = 0

b)

Thanks :)

Step 1: Find the logarithmic equation The x and y values are related by the equation In y m In x, where m is the slope of the line Use the x and y to find the corresponding values for In x and In y