The mathematical model for learning an assembly-line procedure needed for assembling one component of a manufactured item is n=−5 ln (0.95/P -1)

Question

The mathematical model for learning an assembly-line procedure needed for assembling one component of a manufactured item is n=−5 ln(0.95/P -1) where P is the proportion of correctly assembled components after n practice sessions. Solve the equation for 

to find an equation for the proportion of correctly assembled components in terms of the number of practice sessions n.

The percent of correctly assembled components is _____ %.

Answer 1

I start here, n=ln((.95/P)-1)^-5

later I have e^(-n/5)+1=.95/P from eⁿ=((.95/P)-1)^-5

finally P=.95/(e^(-n/5)+1)

since the problem wants percentage P%=100*P