1. Make sure to provide complete work to justify your results. (a) Find the domain of f(r) = log(r + 11). (b) Find the domain of g(x) = In(x2 + 3x - 18).2. Solve the following equations. Find exact solutions. Do not estimate. (a) 211232 (b) 332] _ 311: = 0 (c) e\" + 92\" 6 = D (Hint: Begin with the substitution u = 93'.) 3. Suppose that u = log(3) and v = log(5). For each of the following logarithmic expressions, find a linear expression in terms of u and/or v and/or integer or fraction values. Your answer should have no logarithms and no decimal approximations of any logarithmic values. (Hint: Begin by writing the argument inside the logarithm in terms of the values 3, 5, 10, and exponents on those values and then apply the properties of logarithms to expand the expression. For example, log(150) = log(3 . 5 - 10) = log(3) + log(5) + log(10) = utv+1. (a) log( V15) (b) log 6 - log 2 (c) log 1000 5 (d) logo.231 1 (e) log(0.6)