Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for College Algebra (MindTap Course List)
22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49EFind each value of x. log3x=-451E52E53E54E55E56E57E58E59E60EFind each value of x. 2log25=x62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83E84E85E86E87E88EUse a calculator to find yto four decimal places, if possible. lny=-3.7190E91E92E93E94E95E96E97E98E99E100E101E102E103E104E105E106E107EGraph each function. fx=log1/4x109E110E111E112E113E114E115E116E117E118E119E120E121E122E123E124E125E126E127E128E129E130E131E132E133E134EHow do you find the domain of a logarithmic function?What strategy would you use to graph fx=log5x?137E138E139E140E141E142E143E144E145E146E147E148E149E150ESelf check Find the dB gain if the input is 0.7 volt. Round to the nearest decibel.2SC3SC4SC5SC1E2E3E4E5E6E7E8E9E10E11E12E13E14E15EApplications Use a calculator to solve each problem. Earthquakes An earthquake has a period of 12 second and an amplitude of 5 cm. Find its measure on the Richter scale. Hint: 1cm = 10,000 micrometers Round to the nearest whole number.17E18E19E20E21EApplications Use a calculator to solve each problem. Fish population growth One thousand bass were stocked in Catfish Lake in Eagle River, Wisconsin, a lake with no bass population. If the population of bass is expected to grow at a rate of 25% per year, how long will it take the population to double? Round to one decimal place.23E24E25E26E27E28EApplications Use a calculation to solve each problem. Depreciation In business, equipment is often depreciated using the double declining-balance method. In this method, a piece of equipment with a life expectancy of N years, costing C, will depreciate to a value of V in n years, where n is given by the following formula. n=logV-logClog1-2N If a computer that cost 37,000 has a life expectancy of 5 years and has depreciated to a value of 8000, how old is it?30E31E32E33E34E35E36E37E38E39E40E1SC2SC3SC4SCSelf Check Use the information given in Example 5 to find an approximation for log100.75. Given that log1020.3010 and log1030.47716SC7SC8SC9SC1E2E3E4E5E6E7E8E9E10ESimplify each expression. log41=_______12ESimplify each expression. log447=_______14ESimplify each expression. 5log510=_______16ESimplify each expression. log55=_______18EUse a calculator to verify each equation. log[3.72.9]=log3.7+log2.920EUse a calculator to verify each equation. ln3.73=3ln3.722E23E24EAssume that x,y,zandbare positive numbers and b1. Use the properties of logarithms to write each expression in terms of the logarithms of x,y,andz. logb2xy26EAssume that x,y,zandbare positive numbers and b1. Use the properties of logarithms to write each expression in terms of the logarithms of x,y,andz. logb2xy28E29E30E31E32EAssume that x,y,zandbare positive numbers and b1. Use the properties of logarithms to write each expression in terms of the logarithms of x,y,andz. logbxz34E35E36EAssume that x,y,zandbare positive numbers and b1. Use the properties of logarithms to write each expression in terms of the logarithms of x,y,andz. lnx7y838E39E40EAssume that x,y,zandbare positive numbers and b1. Use the properties of logarithms to write each expression as the logarithms of one quantity. logbx+1-logbx42EAssume that x,y,zandbare positive numbers and b1. Use the properties of logarithms to write each expression as the logarithms of one quantity. 2logbx+13logby44EAssume that x,y,zandbare positive numbers and b1. Use the properties of logarithms to write each expression as the logarithms of one quantity. -3logbx-2logby+12logbz46E47E48EAssume that x,y,zandbare positive numbers and b1. Use the properties of logarithms to write each expression as the logarithms of one quantity. lnx+lnx+5-ln950E51E52EDetermine whether each statement is true or false. logbab=logba+154EDetermine whether each statement is true or false. logb0=156EDetermine whether each statement is true or false. logbx+ylogbx+logby58EDetermine whether each statement is true or false. If logab=c, then logba=c.60EDetermine whether each statement is true or false. log777=762E63E64EDetermine whether each statement is true or false. logbAlogbB=logbA-logbB66E67E68E69E70E71E72E73E74EDetermine whether each statement is true or false. 15lna5=lna76E77EGiven that log1040.6021,log1070.8451,and log1090.9542, use these values and the properties of logarithms to approximate each value. Do not use a calculator. log107479EGiven that log1040.6021,log1070.8451,and log1090.9542, use these values and the properties of logarithms to approximate each value. Do not use a calculator. log1036Given that log1040.6021,log1070.8451,and log1090.9542, use these values and the properties of logarithms to approximate each value. Do not use a calculator. log1063482E83E84EGiven that log1040.6021,log1070.8451,and log1090.9542, use these values and the properties of logarithms to approximate each value. Do not use a calculator. log1011286E87E88EUse a calculator and the Change-of-Base Formula to find each logarithm. Round to four decimal places. log3790E91E92EUse a calculator and the Change-of-Base Formula to find each logarithm. Round to four decimal places. log3894E95E96EpH of water slide The water in the Abyss, a water slide at the Atlantis Resort in the Bahamas, has a hydrogen ion concentration of 6.310-8 gram-ions per liter. Find the pH. Round to two decimal places.pH of swimming pool The ideal pH for a swimming pool is 7.2, the same pH as our eyes. The swimming pool at the local YMCA has a hydrogen ion concentration of 1.610-7 gram-ions per liter. Find the pH of the pool. Round to two decimal places. Is this ideal?99EpH of calcium hydroxide Find the hydrogen ion concentration of a saturated solution of calcium hydroxide whose pH is 13.2101E102E103E104E105E106E107E108E109E110E111E112E113E114E115E116E117E