Computer Science, nonliear Equations in one variable

3. Given a > 0, we wish to compute x - Ina using addition, subtraction, multiplication, division, and the exponential function, e' (a) Suggest an iterative formula based on Newton's method, and write it in a way suitable for numerical computation b) Write down the formula for the secant method. (c) When we run Newton's method and the secant method for certain initial guesses, we see that Newton's method converges within ive iterations and secant converges within seven iterations. The deciding factor in assessing efficiency in this case is the number of exponential function evaluations. Which method is more efficient n this case! 3. Given a > 0, we wish to compute x - Ina using addition, subtraction, multiplication, division, and the exponential function, e' (a) Suggest an iterative formula based on Newton's method, and write it in a way suitable for numerical computation b) Write down the formula for the secant method. (c) When we run Newton's method and the secant method for certain initial guesses, we see that Newton's method converges within ive iterations and secant converges within seven iterations. The deciding factor in assessing efficiency in this case is the number of exponential function evaluations. Which method is more efficient n this case