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All Textbook Solutions for College Algebra (MindTap Course List)

118E Show that lnex=x 120E 121E 122E 123E 124E 125E 126E 127E 128E 129E 130E In Exercises125-132, match the logarithmic expression on the left with an equivalent logarithmic expression on the right. Assume x,y,z,andware positive number. -log300x100y200 a. 100log500w+200log500x-300log500z-400log500y b. 100log500w+200log500x+300log500z-400log500y c. 1100log200x+1100log200y d. log200x+1100log200y e. 200log300x+100log300y f. 100log300x+200log300y g. log300x100+log300y200 h. log3001x100+log3001y200 132E Self Check Solve: 33x-5=81 2SC 3SC 4SC 5SC 6SC Self Check Solve: log35x+2=log36x+1.8SC 9SC 10SC 11SC 12SC 1E 2E 3E 4E 5E 6E 7E 8E Practice Solve each exponential equation using like bases. 54x+1=25-x-2 10E 11E 12E Practice Solve each exponential equation using like bases. 812x=272x-5 14E 15E 16E 17E 18E 19E 20E 21E 22E 23E 24E 25E 26E Practice Solve each exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. 13x-1=2 28E Practice Solve each exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. 2x+1=3x 30E Practice Solve each exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. 2x=3x 32E 33E 34E 35E 36E 37E 38E 39E 40E 41E 42E 43E 44E 45E 46E 47E 48E 49E 50E Practice Solve each logarithmic equation. Use the definition of logarithm or the definition of natural logarithm. log4x+12x+9=0 52E Practice Solve each logarithmic equation. Use the definition of logarithm or the definition of natural logarithm. lnx=6 54E Practice Solve each logarithmic equation. Use the definition of logarithm or the definition of natural logarithm. ln2x-7=4 56E Practice Solve each logarithmic equation. log22x-3=log2x+4 58E Practice Solve each logarithmic equation. logx+logx-48=2 60E Practice Solve each logarithmic equation. logx+logx-15=2 62E Practice Solve each logarithmic equation. logx+90=3-logx 64E Practice Solve each logarithmic equation. log5000-logx-2=3 66E Practice Solve each logarithmic equation. log7x-log7x-5=log76 68E 69E 70E 71E 72E 73E 74E Practice Solve each logarithmic equation. loglogx=1 76E 77E Practice Solve each logarithmic equation. ln8x-7lnx=2 79E 80E 81E 82E 83E 84E 85E 86E 87E 88E 89E 90E Applications Use a calculator to help solve each problem. Tritium decay The half-life of tritium is 12.4 years. How long will it take for 25 of a sample of tritium to decompose? Round to one decimal place.92E 93E 94E 95E 96E Applications Use a calculator to help solve each problem. Compound interest If 500 is deposited in an account paying 8.5 annual interest, compounded semiannually, how long will it take for the account to increase to 800? Round to the nearest tenth.98E 99E 100E 101E 102E Applications Use a calculator to help solve each problem. Bacterial growth A staphylococcus bacterial culture grows according to the formula P=P0at. If it takes 5 days for the culture to triple in size, how long will it take to double in size? Round to one decimal place.104E 105E 106E 107E 108E 109E 110E 111E Discovery and Writing Explain how to solve the exponential equation 5x+1=126.113E 114E 115E 116E 117E 118E 119E 120E 121E 122E 123E 124E 125E 126E 127E 128E 129E 130E 1E 2E 3E 4E 5E 6E 7E 8E 9E 10E 11E 12E 13E 14E The half-life of a radioactive material is about 34.2 years. How much of the material is left after 20 years?Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.The population of the United States is approximately 300,000,000 people. Find the population in 50 years if k=0.015. Round to the nearest million.18E 19E 20E 21E 22E 23E 24E 25E 26E 27E 28E 29E 30E 31E 32E 33E 34E 35E 36E 37E 38E 39E 40E 41E 42E Use a calculator to find each value to four decimal places. ln452 44E 45E 46E 47E 48E 49E 50E 51E 52E 53E 54E 55E 56E 57E 58E 59E 60E 61E 62E 63E 64E 65E 66E 67E 68E 69E 70E 71E 72E 73E 74E 75E 76E 77E 78E 79E 80E 81E 82E 83E 84E 85E 86E 87E 88E 89E 90E 91E 92E 93E 94E 95E 96E 97E 98E 99E 100E 101E 102E 1CT 2CT 3CT 4CT 5CT 6CT 7CT 8CT 9CT 10CT 11CT 12CT 13CT 14CT 15CT 16CT 17CT Given that log20.3010and log30.4771, approximate each value. Do not use calculator. log83 19CT 20CT 21CT 22CT 23CT Find the solution. Decibel gain Find the dB gain of an amplifier when EO=60 volts and EI=0.3 volt. Hint:dBgain=20logEOEI. Round to the nearest decibel.25CT 26CT 27CT 28CT 29CT 30CT 1CM 2CM 3CM 4CM 5CM 6CM 7CM 8CM 9CM 10CM 11CM

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