2. (a) Evaluate the following expressions. Do not use a calculator and show all your work. Clearly explain your steps. () logs V5 = () 10813 13 = [wv) In 1 = (vi) loga (log2512) = [b) Solve the following equations. Do not use a calculator and show all your work. Clearly explain your steps. (1) 5* = 3125 () 647 = = mij (1 + x)* = 81 [iv) log,x = 2 (v) In(Inx) = 0[c) Find the domain and range of each of the following functions, and graph each one of them. (i) In[(x - 1)4] (ii) log () (mii) In(x2 - 3x - 10) [d) The magnitude R (on the Richter scale) of an earthquake of intensity I is given by R = 108T where lo is the intensity of a barely felt zero-level earthquake. How many times more intense is an earthquake of magnitude & compared to a magnitude 6 earthquake