5a write the logarithmic equation for the graph b the Soluti

5a. write the logarithmic equation for the graph b. the

Solution

For vertical asymptote x=3,the log equation is of the following form.

y=alog(3-bx)

The points are (-5,2) and (1,0)

Plugging these points in the above equation we get

2=alog(3+5b)   and 0= alog(3 - b)

The second equation gives

1=3-b

b=2

2=alog(13)

a=2/log13=1.7954

Therefore the required equation is

y=1.7954 log(3-2x)