is a=2??? I considered the case where a is a positive integer. The graph will cut x-axis at x=1(lnx=0).So i found the "slope" of normal at x=1 in terms of a and equate it with -1/5.Slope of normal came out to be (a+3).
Edit:I guess this question should come under pre-univesity calculus
Edit:My method is correct but answer could be wrong.