Math 115: Pre-calculus: Please show all work. 1. Convert each to a logarithmic equation. a e~ 1=03679 b, Qf=x 2. Convert each to an exponential equation. a. In30=3.4012 b. log,M = x 3. Find each of the following logarithms. 3 Ing497 b. logZOOSO B . Graph the given function and its inverse using the same set of axes.3 Fa=3% ol = logax 5. Giventhatlog,2 ~ 0.301 and log,3 = 0.477, find each of the following. 2 a. i'agaz b. log,81 1 log,6 d. loguz 6. Expand each of the following into several logarithms. a. In 3x3y 7. Express each as a single logarithm and, if possible, simplify. & 1 Elogax +4log,y 3log,z b. In2x +3(nx1lny) 8. Solve the following equations. a 27= 3% 3% b. 2Inx-In5 = Infx + 10) 9. Find two positive angles and two negative angles that are coterminal with (a) 51 (b) =7 10. Convert 72.18 to DMS notation. 11. Convert 542'30" to decimal degree notation. 12. Convert each of the following to radians. a. 120 b. 297.25 13. Convert each of the following to degrees. a. 2.347 b. 14. An earth satellite in circular orbit 1200 km high makes one complete revolution every 90 minutes. What is its linear speed? Use 6400 km for the length of a radius of the earth