Math 155 Lab Assignment- Logarithmic Functions 1. a. Evaluate log 100,000 - log 100 100,000 b. Evaluate log 100 c. How do the values of the expressions in parts (a) and (b) compare? 2. a. Evaluate log2 25 b. Evaluate 5 . log2 2 c. How do the values of the expressions in parts (a) and (b) compare? 3. The time + (in years) required for an investment to double with interest compounded continuously depends on the interest rate raccording to the function 1( r) =- In 2 a. If an interest rate of 3.5% is secured, determine the length of time needed for an initial investment to double. Round to 1 decimal place. b. Evaluate #(0.04), +(0.06), and #(0.08).Math 155 Lab Assignment- Logarithmic Functions 4. The number n of monthly payments of P dollars each required to pay off a loan of A dollars in its entirety at interest rate r is given by Ar log 1 12P n = log + 12 A college student wants to buy a car and realizes that he can only afford payments of $200 per month. If he borrows $3000 and pays it off at 6% interest, how many months will it take him to retire the loan? Round to the nearest month