The value of k in the given expression.
k = e2.
The substitution method to satisfy the equation
Hence, use the formulae of substitution method to satisfy the equation
Take log on both sides.
Determine k in form of x
Now there should be some value which satisfies the equation. Assume that it is 1.
x=1 is the only solution which satisfy the equation 4x=4+lnx
Hence k=e2 is the solution.
Conclusion: Hence the value of k is e2.