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MI 3 Log Quiz #2 Name: _______________________ NO Calculator Show your work to get full credit: 1. Find the value of (log125 5) b2 2. Expand log 2 c 2c 1 3. log5 125 1 using the laws of logarithms. Given p log3 (2) , q log3 (5) and r log3 (49) , express the following in terms of p, q and r if possible. 125 a. log 3 12 4 7 b. log 3 4. Solve for x: a. logb ( x) logb (2 x 3) logb (2) b. log 2 ( x) log( x 2 ) 15 5. Find the inverse, f 1 ( x) , given that f ( x) 3 102 x 1 . IMSA Sp12 IMSA SP12 5. Graph each of the following functions. In each case label the scales on the x- and y- axes clearly and label at least three points. f ( x) log5 ( x) Domain = Range = f ( x) log 2 x 2 Domain = Range = f ( x) log3 ( x 1) 3 Domain = Range = f ( x) log3 x 2 Domain = Range = 6. Prove the following. Clearly show your steps to get full credit. IMSA log a (b 4 ) log a4 (b) . 16 SP12