1. Evaluate the expression: 12.4279 2. log, 44 Use the change of base formula to solve. Round to three decimal places. 3. 10g 2/5 0.9 4. log 24 68 Solve the exponential and logarithmic equations. 5. etto =ex 6. 5 In( 3x) = 14. 7. lug3 * + log3 (x-80) = 4 8. In ~ 5x - 4 = 0.5 9 = 83*+5 10. N / = 8 11. log10* =-3 12. 3 * - 2 = 272x 13. 18 + 4Inx = 7 14 1025 8tex = 5 15. Use the properties of logarithms to expand the expression. log. 23 16. Condense the following into one log expression. leg Alagu) log X + 2logy - 4 logv 17. Write TRUE or FALSE for the following statements. (x - 3)2 =x2 -6x +9 In 0 = 1 log 10 = 1 -log (2) does not exist. 18. Application: 4 = P ( 1 + * ) " A = Pe" $6000 is invested in a bank account that pays 8% interest over 10 years. a.) Calculate the future value of the investment if the account is compounded twice a year. b.) Calculate the future value of the investment if the account is compounded continuously. c.) If the account holder decides to keep the investment at the same bank with the same conditions in part (b) for an additional 5 years, what will the future value of the investment be? d) Which investment would you recommend? 19. Use the formula y = xe" where r is the rate, x is the original cost, y is the value of the car and t is time. If a VW Retro Mini Van is bought for $15,000 and depreciates at a rate of 12.5%, how long will it take to reach half its original price