College Algebra 1st Edition
ISBN: 9781938168383
Author: Jay Abramson
Publisher: Jay Abramson
1 Prerequisites 2 Equations And Inequalities 3 Functions 4 Linear Functions 5 Polynomial And Rational Functions 6 Exponential And Logarithmic Functions 7 Systems Of Equations And Inequalities 8 Analytic Geometry 9 Sequences, Probability And Counting Theory Chapter6: Exponential And Logarithmic Functions
6.1 Exponential Functions 6.2 Graphs Of Exponential Functions 6.3 Logarithmic Functions 6.4 Graphs Of Logarithmic Functions 6.5 Logarithmic Properties 6.6 Exponential And Logarithmic Equations 6.7 Exponential And Logarithmic Models 6.8 Fitting Exponential Models To Data Chapter Questions Section6.6: Exponential And Logarithmic Equations
Problem 1TI: Solve 52x=53x+2. Problem 2TI: Solve 52x=253x+2. Problem 3TI: Solve 5x=5. Problem 4TI: Solve 2x=100. Problem 5TI: Solve 2x=3x+1. Problem 6TI: Solve 3e0.5t=11. Problem 7TI: Solve 3+e2t=7e2t. Problem 8TI: Solve e2x=ex+2. Problem 9TI: Solve 6+ln(x)=10. Problem 10TI: Solve 2ln(x+1)=10. Problem 11TI: Use a graphing calculator to estimate the approximate solution to the logarithmic equation 2x=1000... Problem 12TI: Solve ln(x2)=ln(1). Problem 13TI: How long will it take before twenty percent of our 1,000 -gram sample of uranium- 235 has decayed? Problem 1SE: How can an exponential equation be solved? Problem 2SE: When does an extraneous solution occur? How canan extraneous solution be recognized? Problem 3SE: When can the one-to-one property oflogarithms beused to solve an equation? When can it not be used? Problem 4SE: For the following exercises, use like bases to solve the exponential equation. 43v2=4v Problem 5SE: For the following exercises, use like bases to solve the exponential equation. 6443x=16 Problem 6SE: For the following exercises, use like bases to solve the exponential equation. 32x+13x=243 Problem 7SE: For the following exercises, use like bases to solve the exponential equation. 7. 23n14=2n+2 Problem 8SE: For the following exercises, use like bases to solve the exponential equation. 62553x+3=125 Problem 9SE: For the following exercises, use like bases to solve the exponential equation. 363b362b=2162b Problem 10SE: For the following exercises, use like bases to solve the exponential equation. 10. (164)3n8=26 Problem 11SE: For the following exercises, use logarithms to solve. 9x10=1 Problem 12SE: For the following exercises, use logarithms to solve. 2e6x=13 Problem 13SE: For the following exercises, use logarithms to solve. er+1010=42 Problem 14SE: For the following exercises, use logarithms to solve. 2109a=29 Problem 15SE: For the following exercises, use logarithms to solve. 810p+77=24 Problem 16SE: For the following exercises, use logarithms to solve. 7e3n5+5=89 Problem 17SE: For the following exercises, use logarithms to solve. e3k+6=44 Problem 18SE: For the fo?awing exercises, use logarithms to solve. 5e9x88=62 Problem 19SE: For the following exercises, use logarithms to solve. 6e9x+8+2=74 Problem 20SE: For the following exercises, use logarithms to solve. 2x+1=52x1 Problem 21SE: For the following exercises, use logarithms to solve. e2xex132=0 Problem 22SE: For the following exercises, use logarithms to solve. 7e8x+85=95 Problem 23SE: For the following exercises, use logarithms to solve. 23. 10e8x+3+2=8 Problem 24SE: For the following exercises, use logarithms to solve. 24. 4e3x+37=53 Problem 25SE: For the following exercises, use logarithms to solve. 8e5x24=90 Problem 26SE: For the following exercises, use logarithms to solve. 32x+1=7x2 Problem 27SE: For the following exercises, use logarithms to solve. e2xex6=0 Problem 28SE: For the following exercises, use logarithms to solve. 3e33x+6=31 Problem 29SE: For the following exercises, use the definition of a logarithm to rewrite the equation as an... Problem 30SE: For the following exercises, use the definition of a logarithm to rewrite the equation as an... Problem 31SE: For the following exercises, use the definition of a logarithm to solve the equation. 5log7(n)=10 Problem 32SE: For the following exercises, use the definition of a logarithm to solve the equation. 8log9(x)=16 Problem 33SE: For the following exercises, use the definition of a logarithm to solve the equation. 4+log2(9k)=2 Problem 34SE: For the following exercises, use the definition of a logarithm to solve the equation.... Problem 35SE: For the following exercises, use the definition of a logarithm to solve the equation. 104ln(98x)=6 Problem 36SE: For the following exercises, use the one-to-one property of logarithms to solve. ln(103x)=ln(4x) Problem 37SE: For the following exercises, use the one-to-one property of logarithms to solve.... Problem 38SE: For the following exercises, use the one-to-one property of logarithms to solve.... Problem 39SE: For the following exercises, use the one-to-one property of logarithms to solve. ln(3x)=ln(x26x) Problem 40SE: For the following exercises, use the one-to-one property of logarithms to solve. log4(6m)=log43(m) Problem 41SE: For the following exercises, use the one-to-one property of logarithms to solve. ln(x2)ln(x)=ln(54) Problem 42SE: For the following exercises, use the one-to-one property of logarithms to solve.... Problem 43SE: For the following exercises, use the one-to-one property of logarithms to solve.... Problem 44SE: For the following exercises, solve each equation for x . log(x+12)=log(x)+log(12) Problem 45SE: For the following exercises, solve each equation for x . ln(x)+ln(x3)=ln(7x) Problem 46SE: For the following exercises, solve each equation for x . log2(7x+6)=3 Problem 47SE: For the following exercises, solve each equation for x . ln(7)+ln(24x2)=ln(14) Problem 48SE: For the following exercises, solve each equation for x . 48. log8(x+6)log8(x)=log8(58) Problem 49SE: For the following exercises, solve each equation for x . 49. ln(3)ln(33x)=ln(4) Problem 50SE: For the following exercises, solve each equation for x. 50. log3(3x)log3(6)=log3(77) Problem 51SE: For the following exercises, solve the equation for x , if there is a solution. Than graph both... Problem 52SE: For the following exercises, solve the equation for x , if there is a solution. Than graph both... Problem 53SE: For the following exercises, solve the equation for x , if there is a solution. Than graph both... Problem 54SE: For the following exercises, solve the equation for x , if there is a solution. Than graph both... Problem 55SE: For the following exercises, solve the equation for x , if there is a solution. Than graph both... Problem 56SE: For the following exercises, solve the equation for x , if there is a solution. Than graph both... Problem 57SE: For the following exercises, solve the equation for x , if there is a solution. Than graph both... Problem 58SE: For the following exercises, solve the equation for x , if there is a solution. Than graph both... Problem 59SE: For the following exercises, solve the equation for x , if there is a solution. Than graph both... Problem 60SE: For the following exercises, solve the equation for x , if there is a solution. Than graph both... Problem 61SE: For the following exercises, solve the equation for x , if there is a solution. Than graph both... Problem 62SE: For the following exercises, solve the equation for x , if there is a solution. Than graph both... Problem 63SE: For the following exercises, solve the equation for x , if there is a solution. Than graph both... Problem 64SE: For the following exercises, solve the equation for x, if there is a solution. Than graph both sides... Problem 65SE: For the following exercises, solve for the indicated value, and graph the situation showing the... Problem 66SE: For the following exercises, solve for the indicated value, and graph the situation showing the... Problem 67SE: For the following exercises, solve for the indicated value, and graph the situation showing the... Problem 68SE: For the following exercises, solve each equation by rewriting the exponential expression using the... Problem 69SE: For the following exercises, solve each equation by rewriting the exponential expression using the... Problem 70SE: For the following exercises, solve each equation by rewriting the exponential expression using the... Problem 71SE: For the following exercises, solve each equation by rewriting the exponential expression using the... Problem 72SE: For the following exercises, solve each equation by rewriting the exponential expression using the... Problem 73SE: For the following exercises, use a calculator to solve the equation. Unless indicated otherwise,... Problem 74SE: For the following exercises, use a calculator to solve the equation. Unless indicated otherwise,... Problem 75SE: For the following exercises, use a calculator to solve the equation. Unless indicated otherwise,... Problem 76SE: For the following exercises, use a calculator to solve the equation. Unless indicated otherwise,... Problem 77SE: For the following exercises, use a calculator to solve the equation. Unless indicated otherwise,... Problem 78SE: Use the definition of a logarithm along with the one-to-one property oflogarithms to prove that... Problem 79SE: Recall the formula for continually compoundinginterest, y=Aekt. Use the definition of a... Problem 80SE: Recall the compound interest formula A=a(1+rk)kt. Use the definition of a logarithm along... Problem 81SE: Newton’s Law ofCooling states that the temperatureTof an object at any time t can be described by... Problem 1SE: How can an exponential equation be solved?
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