In each of the following compound interest equations, the variable n represents the number of times per year that the interest is compounded. Use common logarithms to write an expression for n. Evaluate the expression to the nearest integer.
a. 6252.40 55800(1.00375)⁵ⁿ
b. 10,167.56 58000(1.002)¹⁰ⁿ
c. 547.80 5500(1.00005)⁵ⁿ
d. 14,340 512,000(1.011)⁸ⁿ
e. 1652.25 51500(1.01625)⁶ⁿ