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mathematics
college algebra
Intermediate Algebra 13th Edition Margaret Lial, John Hornsby, Terry McGinnis - Solutions
Each function is one-to-one. Find its inverse. f(x): = 5x – 10 x + 4 x = -4
Solve each equation.162x+1 = 64x+3
Use a calculator to approximate each logarithm to four decimal places. log2 1 7
Use the properties of logarithms to express each logarithm as a sum or difference of logarithms. Assume that all variables represent positive real numbers. logs a³b² C4
Use the properties of logarithms to write each expression as a single logarithm. Assume that all variables are defined in such a way that the variable expressions are positive, and bases are positive numbers not equal to 1. log10 (x + 4) + log10 (x + 6)
Solve each equation. Give exact solutions. log6 (x² +11) = 2
Each function is one-to-one. Find its inverse. f(x) = -2x+1 2x5 x = 5-2
Solve each equation.92x-8 = 27x-4
Solve each equation. 5x = || 1 125
Use the properties of logarithms to express each logarithm as a sum or difference of logarithms. Assume that all variables represent positive real numbers. log4 √x.w² N
Find the pH (to the nearest tenth) of the substance with the given hydronium ion concentration.Egg white, 1.6 × 10-8
Use the properties of logarithms to write each expression as a single logarithm. Assume that all variables are defined in such a way that the variable expressions are positive, and bases are positive numbers not equal to 1. 1 3 logpx + logp log, 3 y y-logpz - 3 log, a 2
Each function is one-to-one. Find its inverse. f(x) = -3x + 2 3x - 4 x7 4 3
Solve each equation or inequality. 5x+3 25 3x+2
Use a calculator to approximate each logarithm to four decimal places.log10 84
Solve each equation. 3x 1 81
Use the properties of logarithms to express each logarithm as a sum or difference of logarithms. Assume that all variables represent positive real numbers. p²r log₂ Vz
Find the pH (to the nearest tenth) of the substance with the given hydronium ion concentration.Sodium bicarbonate, 4.0 × 10-9
Use the properties of logarithms to write each expression as a single logarithm. Assume that all variables are defined in such a way that the variable expressions are positive, and bases are positive numbers not equal to 1. 1 3 log, x + 2log, y log, 5 - 2 log, f 10 s - 3 4 3
Let ƒ(x) = 2x. This function is one-to-one. Find each value. (a) f(3) (b) f-¹(8)
Suppose that in solving a logarithmic equation having the term log (x - 3), we obtain the proposed solution 2. We know that our algebraic work is correct, so we give {2} as the solution set.
Use the properties of logarithms to rewrite each expression as a single logarithm. Assume that all variables are defined in such a way that the variable expressions are positive, and bases are positive numbers not equal to 1. 2 loga 74 loga 2
Solve each equation or inequality. log5 x + log5 (x + 4) = 1
To four decimal places, the values of log10 2 and log10 9 areUse these values and the properties of logarithms to evaluate each expression.log10 18 log10 2 = 0.3010 and log10 9 = 0.9542.
Solve each equation. 9x 1 27
Use a calculator to approximate each logarithm to four decimal places.log10 126
Find the pH (to the nearest tenth) of the substance with the given hydronium ion concentration.Tuna, 1.3× 10-6
Solve each equation. Give exact solutions. log (6x + 1) = log 3
Suppose that in solving a logarithmic equation having the term log (3 - x), we obtain the proposed solution -4. We know that our algebraic work is correct, so we reject -4 and give ∅ as the solution set.
Let ƒ(x) = 2x. This function is one-to-one. Find each value. (a) f(4) (b) f¹(16)
Solve each equation. 8x 1 32
Use the properties of logarithms to rewrite each expression as a single logarithm. Assume that all variables are defined in such a way that the variable expressions are positive, and bases are positive numbers not equal to 1. 1 3 loga 5 + = loga 8 3
Use a calculator to approximate each logarithm to four decimal places.log 50
To four decimal places, the values of log10 2 and log10 9 areUse these values and the properties of logarithms to evaluate each expression.log10 4 log10 2 = 0.3010 and log10 9 = 0.9542.
Solve each equation. Give exact solutions. log (72x) = log 4
Graph. f(x) = 2x
To four decimal places, the values of log10 2 and log10 9 areUse these values and the properties of logarithms to evaluate each expression. log10 2 = 0.3010 and log10 9 = 0.9542.
Let ƒ(x) = 2x. This function is one-to-one. Find each value. (a) f(0) (b) f-¹(1)
Find the pH (to the nearest tenth) of the substance with the given hydronium ion concentration.Grapes, 5.0 × 10-5
Use the properties of logarithms to rewrite each expression as a single logarithm. Assume that all variables are defined in such a way that the variable expressions are positive, and bases are positive numbers not equal to 1. log, 3+ log X-2 log y
Let ƒ(x) = 2x. This function is one-to-one. Find each value. (a) f(-2) (b) f-1 4
Use a calculator to approximate each logarithm to four decimal places.log 90
Solve each equation. Give exact solutions. log5 (3t+ 2) - log5 t = log5 4
To four decimal places, the values of log10 2 and log10 9 areUse these values and the properties of logarithms to evaluate each expression. log10 2 = 0.3010 and log10 9 = 0.9542.
Solve each equation.5x = 0.2
Use the properties of logarithms to rewrite each expression as a single logarithm. Assume that all variables are defined in such a way that the variable expressions are positive, and bases are positive numbers not equal to 1. log3 (x + 7) - log3 (4x + 6)
Solve each equation.x = log27 3
Use properties of logarithms to write the following as a sum or difference of logarithms. Assume that variables represent positive real numbers. log x³√y N
Find the hydronium ion concentration of the substance with the given pH.Human blood plasma, 7.4
Solve each equation. Give exact solutions. log₂ (t + 5) - log₂ (1 - 1) = log₂ 3
Solve each equation. 2. X || 8 27
Graphs of selected functions are given in the following exercises.(a) Use the horizontal line test to determine whether each function graphed is one-to-one.(b) If the function is one-to-one, graph its inverse. DI y تنا 0. IITT -X
Solve each equation.10x = 0.1
Solve each equation.x = log125 5
To four decimal places, the values of log10 2 and log10 9 areUse these values and the properties of logarithms to evaluate each expression.log10 36 log10 2 = 0.3010 and log10 9 = 0.9542.
Graphs of selected functions are given in the following exercises.(a) Use the horizontal line test to determine whether each function graphed is one-to-one.(b) If the function is one-to-one, graph its inverse. X JI 0 2 K ........
Find the hydronium ion concentration of the substance with the given pH.Milk, 6.4
Solve each equation. Give exact solutions. log 4x - log (x-3) = log2
Solve each equation. || 14
Let the number of bacteria present in a certain culture be given bywhere t is time measured in hours, and t = 0 corresponds to noon. Approximate, to the nearest hundred, the number of bacteria present at each time.(a) noon (b) 1 p.m. (c) 2 p.m.(d) When will the population double? B(t) =
To four decimal places, the values of log10 2 and log10 9 areUse these values and the properties of logarithms to evaluate each expression.log10 162 log10 2 = 0.3010 and log10 9 = 0.9542.
Solve each equation. 3 X || 27 64
Solve each equation. Give exact solutions. log (-x) + log 3 = log (2x - 15)
Evaluate each logarithm to four decimal places.log 28.9
Graphs of selected functions are given in the following exercises.(a) Use the horizontal line test to determine whether each function graphed is one-to-one.(b) If the function is one-to-one, graph its inverse. 1- y 0 XA
Solve each equation.log5 x = -3
Find the hydronium ion concentration of the substance with the given pH.Human gastric contents, 2.0
To four decimal places, the values of log10 2 and log10 9 areUse these values and the properties of logarithms to evaluate each expression. log10 2 = 0.3010 and log10 9 = 0.9542.
Evaluate each logarithm to four decimal places.log 0.257
Solve each equation.log10 x = -2
Find the hydronium ion concentration of the substance with the given pH.Spinach, 5.4
Evaluate each logarithm to four decimal places.ln 28.9
Solve each equation. logx 9 = 1 2
Managements of sports stadiums and arenas often encourage fans to make as much noise as possible. Find the average decibel levelfor each venue with the given intensity I.(a) NFL fans, Kansas City Chiefs at Arrowhead Stadium:(b) NBA fans, Sacramento Kings at Sleep Train Arena:(c) MLB fans, Baltimore
Graphs of selected functions are given in the following exercises.(a) Use the horizontal line test to determine whether each function graphed is one-to-one.(b) If the function is one-to-one, graph its inverse. # У -1 0 2 - Х
Solve each equation. Give exact solutions. log₂x + log₂ (x-7)= 3
To four decimal places, the values of log10 2 and log10 9 areUse these values and the properties of logarithms to evaluate each expression. log10 2 = 0.3010 and log10 9 = 0.9542.
Solve each equation. X 16 81
Solve each equation. Give exact solutions. log (2x - 1) + log 10x = log 10
Solve each equation. log.x 5 1 2
The amount of radioactive material in an ore sample is given by the exponential functionwhere A(t) is the amount present, in grams, of the sample t months after the initial measurement.How much radioactive material was present at the initial measurement? A(t) = 100(3.2)-0.5t,
Graphs of selected functions are given in the following exercises.(a) Use the horizontal line test to determine whether each function graphed is one-to-one.(b) If the function is one-to-one, graph its inverse. ++++ E y 4 X
Find the hydronium ion concentration of the substance with the given pH.Bananas, 4.6
Evaluate each logarithm to four decimal places.ln 0.257
To four decimal places, the values of log10 2 and log10 9 areUse these values and the properties of logarithms to evaluate each expression.log10 3 log10 2 = 0.3010 and log10 9 = 0.9542.
The amount of radioactive material in an ore sample is given by the exponential functionwhere A(t) is the amount present, in grams, of the sample t months after the initial measurement.How much, to the nearest hundredth, was present 2 months later? A(t) = 100(3.2)-0.5t,
Solve each equation. Give exact solutions. log 5x - log (2x - 1) = log 4
Find the hydronium ion concentration of the substance with the given pH.Milk of magnesia, 10.5
Graphs of selected functions are given in the following exercises.(a) Use the horizontal line test to determine whether each function graphed is one-to-one.(b) If the function is one-to-one, graph its inverse. y +-+-+-+-5. H 10-2 -X x
To four decimal places, the values of log10 2 and log10 9 areUse these values and the properties of logarithms to evaluate each expression. log10 2 = 0.3010 and log10 9 = 0.9542.
Use the change-of-base rule (with either common or natural logarithms) to approximate each logarithm to four decimal places.log16 13
Find the decibel level of each sound. (a) noisy restaurant: I = 10% (b) farm tractor: I = (5.340 X 10⁹) I (c) snowmobile: I = 31,622,776,6001
Solve each equation.logx 125 = -3
Solve each equation. Give exact solutions. log3x + log3 (2x + 5) = 1
Each of the following functions is one-to-one. Graph the function as a solid line (or curve), and then graph its inverse on the same set of axes as a dashed line (or curve). Complete any tables to help graph the functions. f(x) = 2x - 1
Use the change-of-base rule (with either common or natural logarithms) to approximate each logarithm to four decimal places.log4 12
Solve each equation.logx 64 = -6
Use the change-of-base rule (with either common or natural logarithms) to approximate each logarithm to four decimal places.log1/4 17
Solve each equation. Give exact solutions. log2x + log2 (x-6) = 4
The amount of radioactive material in an ore sample is given by the exponential functionwhere A(t) is the amount present, in grams, of the sample t months after the initial measurement.How much, to the nearest hundredth, was present 10 months later? A(t) = 100(3.2)-0.5t,
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