# HW14 - MAP 103 Prociency Algebra Homework#14 DUE TUESDAY...

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MAP 103: Proficiency Algebra Homework #14 DUE: TUESDAY, DEC. 8, 2009 1. Apply the rules for logarithms to write the following expressions in simplest form. (a) log( x 4 y 2 z 3 ) (b) log 4 r 100 x 6 y 4 10 z 3 ! 2. Apply the rules for logarithms to find the value of the following expressions. (a) log 5 1 25 (b) log 8 2 (c) log 1000 (d) log 7 7 3. Apply the rules for logarithms to find the value of the following expressions. (a) 2 log 4 64 (b) 3 log 2 16 (c) log 2 1 + log 3 27 + log 4 64 + log 5 25 + log 8 8 8 + log 5 5 4. Rewrite as a function of x the following expressions. (a) log 2 y = 4 + 3 log 2 (3 x ) (b) 1 4 ln y = 2 + 2 ln(4 x ) 5. Solve for x in the following exponential equations. Check the solution. (a) 9 2 x +1 = 27 3 x - 2 (b) 2 x +2 = 4 1 - x (c) 27 x 2 +1 = 243 6. Apply rules for logarithms as a guide and solve the exponential equations for x. Check the solution. (a) 3 x = 5 (b) 2 e 2 x = 4 (c) ( 2) x = 10 (d) e 2 x - 5 e x