Directions: Answer the following problems. Show pertinent solution. 1. Express logx + 2 logy - 3 log a as a single logarithm. 2. Using the properties and laws of logarithm, expand log3 - eds 3. Solve for x in the following equations. a. 2 log, x = log, 81 b. log(x + 2) + log(x + 5) = 1 4. Solve the inequality log: (2x + 3) > log: (x - 2). 5. Suppose that a fish population t days from now can be modeled by an exponential function P(t) = Aek . Suppose that the fish population doubled in 90 days. By how much will the fish have multiplied from its initial number after 120 days? 6. Graph the function f(x) = log,(x) + 4. Label all intercepts and asymptotes. Indicate the domain and range