yes, now multiply both sides by 1-y, and move the ye^x-3 to the left and factorise out the y and then divide both sides by e^x-3the age of a machine,x, in years is related to the probability of breakdown,y, by the formula
x=3 + ln( y/1-y)
determine the probability of breakdown for 1,3,10 years!
i am fairly sure 1st i take away the 3 from both sides thus leaving x-3=ln(y/1-y).
then inverse of ln makes y/1-y=e^x-3?
y= (1-y) (e^x-3)
y=e^x-3 - y e^x-3
y + y e^x-3=e^x-3
y(1 + e^x-3)=e^x-3
y=e^x-3/(1 + e^x-3)
now you got y by itself.
sub in those values of x to get probabilty.
it seems correct but correct me if im wrong