7.6 (18.1) - 20 points: Estimate the common (base 10) logarithm of 9.5 using linear interpolation. (a) Interpolate between log(8) = 0.9030900 and log(12) = 1.0791812. (b) Interpolate between log(9)

= 0.9542425 and log (11) = 1.0413927. For each of the interpolations, compute the percent relative error based on the true value. Now suppose you are also given that log(10) = 1. Use quadratic interpolation to find the logarithm of 9 for part (a) and (b). Compare the results.