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MI 3 Log Quiz #2 Name: _______________________ NO Calculator Show your work to get full credit: Solve the equation for x. Leave answer in terms of logs, simplified as much as possible. 1. a. 3x 5 b. (1.025)2 x1 5 2. Use the Laws of Logarithms to simplify the expression: log 5 ( x 2 y 2 ) log 5 ( x y ) 3. Given p log3 (2) , q log3 (5) - Express the follow in terms of p, q if possible. 25 a. log 3 2 8 45 b. log 3 4. Solve for x: a. log 2 ( x) log 2 (2 x 3) 1 IMSA b. log 2 ( x) log( x 2 ) 15 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) log3 x f ( x) log3 ( x 4) 2 Domain = Range = Domain = Range = f ( x) log3 3x 1 Domain = Range = f ( x) log3 x 3 Domain = Range = 1 x 6. Prove: log b log b ( x) IMSA SP12