Problem 1AYU Problem 2AYU Problem 3AYU Problem 4AYU Problem 5AYU Problem 6AYU Problem 7AYU Problem 8AYU Problem 9AYU Problem 10AYU Problem 11AYU Problem 12AYU Problem 13AYU Problem 14AYU Problem 15AYU Problem 16AYU Problem 17AYU Problem 18AYU Problem 19AYU Problem 20AYU Problem 21AYU Problem 22AYU Problem 23AYU Problem 24AYU Problem 25AYU Problem 26AYU Problem 27AYU Problem 28AYU Problem 29AYU Problem 30AYU Problem 31AYU Problem 32AYU Problem 33AYU Problem 34AYU Problem 35AYU Problem 36AYU Problem 37AYU Problem 38AYU Problem 39AYU Problem 40AYU Problem 41AYU Problem 42AYU Problem 43AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 44AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 45AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 46AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 47AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 48AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 49AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 50AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 51AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 52AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 53AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 54AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 55AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 56AYU: In Problems 37-56, write each expression as a sum and/or difference of logarithms. Express powers as... Problem 57AYU: In Problems 57-70, write each expression as a single logarithm. 3 log 5 u+4 log 5 v Problem 58AYU: In Problems 57-70, write each expression as a single logarithm. 2 log 3 u log 3 v Problem 59AYU: In Problems 57-70, write each expression as a single logarithm. log 3 x log 3 x 3 Problem 60AYU: In Problems 57-70, write each expression as a single logarithm. log 2 ( 1 x )+ log 2 ( 1 x 2 ) Problem 61AYU: In Problems 57-70, write each expression as a single logarithm. log 4 ( x 2 1)5lo g 4 (x+1) Problem 62AYU: In Problems 57-70, write each expression as a single logarithm. log( x 2 +3x+2)2log(x+1) Problem 63AYU: In Problems 57-70, write each expression as a single logarithm. ln( x x1 )+ln( x+1 x )ln( x 2 1) Problem 64AYU: In Problems 57-70, write each expression as a single logarithm. log( x 2 +2x3 x 2 4 )log( x 2 +7x+6... Problem 65AYU: In Problems 57-70, write each expression as a single logarithm. 8 log 2 3x2 lo g 2 ( 4 x )+ log 2 4 Problem 66AYU: In Problems 57-70, write each expression as a single logarithm. 21 log 3 x+ log 3 (9 x 2 )lo g 3 9 3 Problem 67AYU: In Problems 57-70, write each expression as a single logarithm. 2 log a (5 x 3 ) 1 2 log a (2x+3) Problem 68AYU: In Problems 57-70, write each expression as a single logarithm. 1 3 log( x 3 +1)+ 1 2 log( x 2 +1) Problem 69AYU: In Problems 57-70, write each expression as a single logarithm. 2 log 2 (x+1)lo g 2 (x+3)lo g 2 (x1) Problem 70AYU: In Problems 57-70, write each expression as a single logarithm. 3 log 5 (3x+1)2lo g 5 (2x1)lo g 5 x Problem 71AYU: In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round... Problem 72AYU: In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round... Problem 73AYU: In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round... Problem 74AYU: In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round... Problem 75AYU: In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round... Problem 76AYU: In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round... Problem 77AYU: In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round... Problem 78AYU: In Problems 71-78, use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round... Problem 79AYU: In Problems 79-84, graph each function using a graphing utility and the Change-of-Base Formula. y=... Problem 80AYU: In Problems 79-84, graph each function using a graphing utility and the Change-of-Base Formula. y=... Problem 81AYU: In Problems 79-84, graph each function using a graphing utility and the Change-of-Base Formula. y=... Problem 82AYU: In Problems 79-84, graph each function using a graphing utility and the Change-of-Base Formula. y=... Problem 83AYU: In Problems 79-84, graph each function using a graphing utility and the Change-of-Base Formula. y=... Problem 84AYU: In Problems 79-84, graph each function using a graphing utility and the Change-of-Base Formula. y=... Problem 85AYU: If f(x)=lnx , lnx,g(x)= e x , and h(x)= x 2 , find: (a) (fg)(x) What is the domain of fg ? (b)... Problem 86AYU: If f(x)= log 2 x , g(x)= 2 x , and h(x)=4x , find: (a) (fg)(x) What is the domain of fg ? (b)... Problem 87AYU: In Problems 87-96, express y as a function of x. The constant C is a positive number. lny=lnx+lnc Problem 88AYU: In Problems 87-96, express y as a function of x. The constant C is a positive number. lny=ln(x+c) Problem 89AYU: In Problems 87-96, express y as a function of x. The constant C is a positive number.... Problem 90AYU: In Problems 87-96, express y as a function of x. The constant C is a positive number.... Problem 91AYU: In Problems 87-96, express y as a function of x. The constant C is a positive number. lny=3x+lnC Problem 92AYU: In Problems 87-96, express y as a function of x. The constant C is a positive number. lny=2x+lnC Problem 93AYU: In Problems 87-96, express y as a function of x. The constant C is a positive number. ln(y3)=4x+lnC Problem 94AYU: In Problems 87-96, express y as a function of x. The constant C is a positive number. ln(y+4)=5x+lnC Problem 95AYU: In Problems 87-96, express y as a function of x. The constant C is a positive number. 3lny= 1 2... Problem 96AYU: In Problems 87-96, express y as a function of x. The constant C is a positive number. 2lny= 1 2 lnx+... Problem 97AYU: Find the value of log 2 3 log 3 4 log 4 5 log 5 6 log 6 7 log 7 8 . Problem 98AYU: Find the value of log 2 4 log 4 6 log 6 8 . Problem 99AYU: Find the value of log 2 3 log 3 4 log n (n+1) log n+1 2 . Problem 100AYU: Find the value of log 2 2 log 2 4 log 2 2 n . Problem 101AYU: Show that log a (x+ x 2 1 )+lo g a (x x 2 1 )=0 . Problem 102AYU: Show that log a ( x + x1 )+lo g a ( x x1 )=0 . Problem 103AYU: Show that ln(1+ e 2x )=2x+ln(1+ e 2x ) . Problem 104AYU: Difference Quotient If f(x)=lo g a x , show that f(x+h)f(x) h = log a ( 1+ h x ) 1/h ,h0 . Problem 105AYU: If f(x)=lo g a x , show that f(x)=lo g 1/a x . Problem 106AYU: If f(x)=lo g a x Problem 107AYU: 107. If f(x)=lo g a x , show that f( 1 x )=f(x) Problem 108AYU: 108. If f(x)=lo g a x , show that f( x )=f(x) Problem 109AYU: 109. Show that log a ( M N )= log a Mlo g a N , where a, M, and N are positive real numbers and a1 Problem 110AYU: 110. Show that log a ( 1 N )= log a N , where a and N are positive real numbers and a1 . Problem 111AYU: 111. Graph Y 1 =log( x 2 ) and Y 2 =2log(x) using a graphing utility. Are they equivalent? What... Problem 112AYU: 112. Write an example that illustrates why (lo g a x) r rlo g a x . Problem 113AYU: 113. Write an example that illustrates why log 2 (x+y)lo g 2 x+lo g 2 y . Problem 114AYU: 114. Does 3 log 3 (5)=5 ? Why or why not? format_list_bulleted