Write the expression as the logarithm of a single number or expression. 3 In 2 + 5 In 4 . . . 3 In 2 + 5 In 4 = (Simplify your answer.)Write the expression as a sum and/or difference of logarithms, with all variables to the first degree. In 1 10a c's In 10a c' = (Type an exact answer in simplified form. Use integers or fractions for any numbers in the expression.)In 2 The doubling function D() = gives the number of years required to double your money when it is invested at interest rate r (expressed as a decimal), compounded annually. How long does it take to double your money at each of the following rates? (a) 4% (b) 6% (c) 9% (d) 36% (e) Round each of your answers in parts (a)-(d) to the nearest year, and compare them with these numbers 72/4, 72/6, 72/9, and 72/36. Use this evidence to state a "rule of thumb" for determining approximate doubling time without employing the function D. This rule is called the rule of 72. (a) It will take approximately |years at a rate of 4% to double the invested money. (Type an integer or decimal rounded to the nearest hundredth as needed