Reminder: We worked with the function C(x) = log(x), which we called the common logarithmic function. Remember that the outputs of the common log functions are exponents, and the inputs are powers of 10. For example log(100) = 2 because 102 = 100. 1. In this activity you learned a method for solving a log equation: write the equation in its exponential form, and then isolate the variable (as needed). Solve each equation using this method. Give exact and approximate solutions. a. log (7x + 100 )= 3 b. log (5 -3x)= 2 2. Some log equations need to be simplified before they can be solved as you did in the previous problem. Solve each equation below. Give exact and approximate solutions. a. log(2x) + 3 = 7 b. 2 . log(3x) - 4 =63. Solve each equation by writing it in log form and then isolating x. Give an exact and an approximate solution for each equation. a. 102x = 500 b. 107-3x = 98 4. Some exponential equations need to be simplified before they can be solved as you did in the previous problem. Solve each equation below. Give exact and approximate solutions. a. 5 . 103x = 55 b. 2 . 103x - 5 = 7