Rewrite the equation in exponential form. 1. log, 49 = 2 2. log, 16 = 4 3. log, 125 = 3 4. 10g164 =3364 5. 1084 7 1 = -1 6. 10g3 9 = -2 Evaluate the logarithm without using a calculator. 7. log. 81 8. log, I 9. 10g3 3 10. log, 2 11. log27 3 12. log, 42/3 Use a calculator to evaluate the logarithm. Round the result to three decimal places. 13. In V5 14. log 110 15. In 5 Find the inverse of the function. 16. y = log, x 17. y = In x 18. 1' = 10g/5 19. y = log ? 20. y = log (x + 2) 21. y = log, 9x Graph the function. State the domain and range. 22. f(x) = 10g, x 23. f(x) = log, (x + 2) 24. f(x) = -log, x - 1 43' 25. Galloping Speed Four-legged animals run with two different types of motion: trotting and galloping. An animal that is trotting has at least one foot on the ground at all times. An animal that is galloping has all four feet off the ground at times. The number S of strides per minute at which an animal breaks from a trot to a gallop is related to the animal's weight w' (in pounds) by the model S = 256.2 - 47.9 log w. Approximate the number of strides per minute for a 450 pound horse when it breaks from a trot to a gallop. 26. Tornadoes The wind speed S (in miles per hour) near the center of a tornado is related to the distance d (in miles) the tornado travels by the model S = 93 log d + 65. Approximate the wind speed of a tornado that traveled 75 miles