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mathematics
college algebra
College Algebra 12th edition Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels - Solutions
Find the value. If applicable, give an approximation to four decimal places.ln 33 + ln 568
Find the value. If applicable, give an approximation to four decimal places.ln 27 + ln 943
Find each value. If applicable, give an approximation to four decimal places. 84 In 17
Find each value. If applicable, give an approximation to four decimal places. 98 In 13
Find each value. If applicable, give an approximation to four decimal places.ln (33 × 568)
Find each value. If applicable, give an approximation to four decimal places.ln (27 × 943)
Find the value. If applicable, give an approximation to four decimal places.ln 0.0077
Find the value. If applicable, give an approximation to four decimal places.ln 0.00013
Find the value. If applicable, give an approximation to four decimal places.ln 39
Find the value. If applicable, give an approximation to four decimal places.ln 28
Find the value. If applicable, give an approximation to four decimal places. In Ve
Find the value. If applicable, give an approximation to four decimal places. In Ve
Find the value. If applicable, give an approximation to four decimal places. In 4
Find each value. If applicable, give an approximation to four decimal places. In
Find the value. If applicable, give an approximation to four decimal places.ln e5.8
Find each value. If applicable, give an approximation to four decimal places.ln e1.6
Solve each problem.Given that log 25 ≈ 1.3979, log 250 ≈ 2.3979, and log 2500 ≈ 3.3979, make a conjecture for an approximation of log 25,000. Why does this pattern continue?
Use a calculator to find an approximation for each logarithm.(a) log 398.4 (b) log 39.84 (c) log 3.984(d) From the answers to parts (a)–(c), make a conjecture concerning the decimal values in the approximations of common logarithms of numbers greater than 1 that have the same digits.
Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog.5.86 × 10-7
Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog.2.49 × 10-7
Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog.3.14 × 10-2
Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog.2.49 × 10-2
Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog.6.22 × 10-5
Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog.2.49 × 10-5
Find the [H3O+] for the substance with the given pH.Drinking water, 6.5
Find the [H3O+] for the substance with the given pH.Beer, 4.8
Find the [H3O+] for the substance with the given pH.Wine, 3.4
Find the [H3O+] for the substance with the given pH.Soda pop, 2.7
For the substance, find the pH from the given hydronium ion concentration.Sodium hydroxide (lye), 3.2 × 10-14
For the substance, find the pH from the given hydronium ion concentration.Crackers, 3.9 × 10-9
For the substance, find the pH from the given hydronium ion concentration.Limes, 1.6 × 10-2
For each substance, find the pH from the given hydronium ion concentration.Grapefruit, 6.3 × 10-4
Why is the result in Exercise 25 the same as that in Exercise 21?Exercise 25log 518 - log 342Exercise 21 518 log 342
Why is the result in Exercise 23 the same as that in Exercise 19?Exercise 23log 387 + log 23Exercise 19log (387 × 23)
Find each value. If applicable, give an approximation to four decimal places.log 643 - log 287
Find the value. If applicable, give an approximation to four decimal places.log 518 - log 342
Solve the equation.52x-6 = 25x-3
Solve the equation. x+1 = 9* 3
Solve the equation.log3 x = -2
Solve the equation.2x = log2 16
Solve the equation. log 12 16
Solve the equation.2x - 1 = log6 6x
Solve the equation. 25 x = log4/5 16
Solve the equation.log10 (log2 210) = x
Solve the equation.log1/3 x = -5
Solve the equation. log, V5 = 3
Solve the equation. x = log, V8
Solve the equation.logx 1 = 0
Solve the equation.logx 3 = -1
Solve the equation.log10 0.01 = x
Solve the equation. log, 5 : 2
Solve the equation. x = log6 216
Solve each equation.x = log10 0.001
Solve each equation.3x = 7log7 6
Write an equivalent statement in logarithmic form.274/3 = 81
Write an equivalent statement in logarithmic form.2x = 32
Use a graphing calculator to find the solution set of the equation. Give solutions to the nearest hundredth.Prove the power property of logarithms: loga xr = r loga x.
Use a graphing calculator to find the solution set of each equation. Give solutions to the nearest hundredth.Prove the quotient property of logarithms: loga = loga x - loga y.
Use a graphing calculator to find the solution set of each equation. Give solutions to the nearest hundredth.2-x = log10 x
Use a graphing calculator to find the solution set of each equation. Give solutions to the nearest hundredth.log10 x = x - 2
If (5, 4) is on the graph of the logarithmic function with base a, which of the following statements is true:5 = loga 4 or 4 = loga 5?
Using the compound interest formula A = P (1 + r/n)tn, show that the amount of time required for a deposit to double is
Use properties of logarithms to evaluate each expression.(a) 100log10 3 (b) log10 (0.01)3 (c) log10 (0.0001)5 (d) 1000log10 5
Suppose ƒ(x) = loga x and ƒ(3) = 2. Determine the function value.(a) f (1/9)(b) ƒ (27)(c) ƒ (9)(d) ƒ (√3/3)
Use the graph to estimate the logarithm.(a) log3 0.3 (b) log3 0.8
The table gives interest rates for various U.S. Treasury Securities on January 2, 2015.(a) Make a scatter diagram of the data.(b) Which type of function will model this data best: linear, exponential, or logarithmic?Time............................. Yield3-month .......................0.02%6-month
Given that log10 2 ≈ 0.3010 and log10 3 ≈ 0.4771, find the logarithm without using a calculator.log10 361/3
Given that log10 2 ≈ 0.3010 and log10 3 ≈ 0.4771, find the logarithm without using a calculator. log10 V30
Given that log10 2 ≈ 0.3010 and log10 3 ≈ 0.4771, find the logarithm without using a calculator. log10 27
Given that log10 2 ≈ 0.3010 and log10 3 ≈ 0.4771, find the logarithm without using a calculator. 9. log10
Given that log10 2 ≈ 0.3010 and log10 3 ≈ 0.4771, find each logarithm without using a calculator. log 10 9.
Given that log10 2 ≈ 0.3010 and log10 3 ≈ 0.4771, find each logarithm without using a calculator. 3 log10
Given that log10 2 ≈ 0.3010 and log10 3 ≈ 0.4771, find the logarithm without using a calculator.log10 12
Given that log10 2 ≈ 0.3010 and log10 3 ≈ 0.4771, find the logarithm without using a calculator.log10 6
Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers, with a ≠ 1 and b ≠ 1. 3 log; 16p* – log, 8p 3 4
Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers, with a ≠ 1 and b ≠ 1. logs 5m2 + logs 25m2 3
Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers, with a ≠ 1 and b ≠ 1.5 loga (z + 7) + loga (2z + 9)
Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers, with a ≠ 1 and b ≠ 1.2 loga (z + 1) + loga (3z + 2)
Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers, with a ≠ 1 and b ≠ 1. loga p°q* - log, p*q? 3
Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers, with a ≠ 1 and b ≠ 1. 3 log, x²y - log, xty5 4 3
Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers, with a ≠ 1 and b ≠ 1.logb p - logb q - logb r
Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers, with a ≠ 1 and b ≠ 1.loga m - loga n - loga t
Write each expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers, with a ≠ 1 and b ≠ 1.logb k + logb m - logb a
Write each expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers, with a ≠ 1 and b ≠ 1.loga x + loga y - loga m
Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers. Va log4 Ve. Væ
Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers. Vx. Vy log3 W²V% w2
Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers. ху log2 tqr
Use the properties of logarithms to rewrite each expression. Simplify the result if possible. Assume all variables represent positive real numbers. ab log2 Ce cd
Use the properties of logarithms to rewrite each expression. Simplify the result if possible. Assume all variables represent positive real numbers. m³n* 3 loga? .2
Use the properties of logarithms to rewrite each expression. Simplify the result if possible. Assume all variables represent positive real numbers. 5r3 log2 .5
Use the properties of logarithms to rewrite each expression. Simplify the result if possible. Assume all variables represent positive real numbers.log6 (7m + 3q)
Use the properties of logarithms to rewrite each expression. Simplify the result if possible. Assume all variables represent positive real numbers.log4 (2x + 5y)
Use the properties of logarithms to rewrite each expression. Simplify the result if possible. Assume all variables represent positive real numbers. 2V3 log2 5
Use the properties of logarithms to rewrite each expression. Simplify the result if possible. Assume all variables represent positive real numbers. logs 3
Use the properties of logarithms to rewrite each expression. Simplify the result if possible. Assume all variables represent positive real numbers. 4p log3
Use the properties of logarithms to rewrite each expression. Simplify the result if possible. Assume all variables represent positive real numbers. 6х log, 62
Connecting Graphs with Equations Write an equation for the graph given. Each represents a logarithmic function ƒ with base 2 or 3, translated and/or reflected. У I(4, 0), HoL HHЫНЫ —х (-3, –3) Е 3, -1)і к 35
Connecting Graphs with Equations Write an equation for the graph given. Each represents a logarithmic function ƒ with base 2 or 3, translated and/or reflected. (6-) Veo (2, 0) (4, –1) Fix = 1
Connecting Graphs with Equations Write an equation for the graph given. Each represents a logarithmic function ƒ with base 2 or 3, translated and/or reflected. y (-2, 0) х (1,-2) (-1,–1)- х%3 -31
Connecting Graphs with Equations Write an equation for the graph given. Each represents a logarithmic function ƒ with base 2 or 3, translated and/or reflected. y |x = 3 ННЊХ (-1,0) (1, –1) -(2,-2) х
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