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study help
mathematics
precalculus
Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry 5th Edition Michael Sullivan - Solutions
In Problems 13–28, use properties of logarithms to find the exact value of each expression. Do not use a calculator.ln e−4
Problems 12–21. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Find the midpoint of the line segment with endpoints (−7, 5) and (1, −9).
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. 를 log7 x = 3 log7 2
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. -2 log4 x = log49
Problems 12–21. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus. Solve: x+1 x² - 25 > 0
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. 3 log₂x = -log₂ 27
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. 2 log, (x+20) log325 = 2 -
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. 21 2 logs x 3 log 5 4
In Problems 20–22, find the exact value of each expression. Do not use a calculator. In ev2 √2
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. 2 log6 (x + 5) + log69 = 2
Problems 12–21. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Find the function whose graph is the shape of y = √x, but shifted to the right 4 units and reflected
Change log5 u = 13 to an equivalent statement involving an exponent.
Problems 12–21. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Solve: 3x2 − 4x − 5 = 0
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. log x + log (x - 21) = 2
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. log x + log(x+15) = 2
In Problems 15–22, find the principal needed now to get each amount; that is, find the present value.To get $800 after 3 1/2 years at 7% compounded monthly
The number of U.S. smartphone users (in millions) t years after 2010 is given by(a) What is the growth rate in the number of U.S. smartphone users?(b) Use a graphing utility to graph P = P(t).(c) What was the number of U.S. smartphone users in 2015?(d) In what year does the number of U.S.
Problems 12–21. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Use the Remainder Theorem to find the remainder when f (x) = 3x5 − 7x4 − 27x3 + 67x2 − 36 is
The logistic modelrepresents the percentage of U.S. households that own a tablet computer t years after 2010.(a) Evaluate and interpret P(0).(b) Use a graphing utility to graph P = P(t).(c) What percentage of U.S. households owned a tablet computer in 2018?(d) In what year did the percentage of
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. log(7x + 6) = 1 + log(x - 1)
Problems 12–21. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Find the average rate of change of f (x) = 8 x from 1/3 to 2/3 .
In Problems 23–26, write each expression as the sum and/or difference of logarithms. Express powers as factors. log₂ (a² √b) a > 0, b>0
The logistic model represents the number of farm workers in the United States t years after 1910.(a) Evaluate and interpret W(0).(b) Use a graphing utility to graph W = W(t).(c) How many farm workers were there in the United States in 2010?(d) When did the number of farm workers in the United
A habitat can be altered by invasive species that crowd out or replace native species. The logistic modelrepresents the number of invasive species present in the Great Lakes t years after 1900.(a) Evaluate and interpret P(0).(b) What is the growth rate of invasive species?(c) Use a graphing utility
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. log(2x) log(x 3) = 1 -
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. log₂ (x + 7) + log₂ (x + 8) = 1
In Problems 15–22, find the principal needed now to get each amount; that is, find the present value.To get $120 after 3 1/4 years at 5% compounded continuously
Problems 12–21. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Use the Intermediate Value Theorem to show that f (x) = −x4 + 2x3 − 5x + 1 has a zero in the
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. log(x + 4) + log6(x + 3) = 1
The logistic modelgives the percentage of Americans who have a social media profile, where t represents the number of years after 2008.(a) Evaluate and interpret P(0).(b) What is the growth rate?(c) Use a graphing utility to graph P = P(t).(d) During 2017, what percentage of Americans had a social
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. logg (x + 6) = 1 - logg (x + 4)
In Problems 15–22, find the principal needed now to get each amount; that is, find the present value.To get $800 after 2 1/2 years at 8% compounded continuously
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. log5 (x + 3) = 1 - log5 (x - 1)
In Problems 27–29, write each expression as a single logarithm. 1⁄ln(x² + 1) − 4 In 1 – 1 [ln(x − 4) + Inx] -
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. In x + ln(x + 2) = 4
In Problems 13–28, use properties of logarithms to find the exact value of each expression. Do not use a calculator.5log5 6+log5 7
In Problems 29–36, suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of a and b. In
In Problems 5 – 44 , solve each logarithmic equation. Express irrational solutions in exact form. In(x + 1) In x = 2
In Problems 21–28, change each logarithmic statement to an equivalent statement involving an exponent.ln x = 4
In Problems 5 – 44 , solve each logarithmic equation. Express irrational solutions in exact form. log, (x + 8) + log, (x + 7) = 2
In Problems 29–36, suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of a and b.ln 6
In Problems 29–40, find the exact value of each logarithm without using a calculator.log2 1
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. log₂ (x + 1) + log₂ (x + 7) = 3
Problems 29 and 30 use the following discussion: Uninhibited growth can be modeled by exponential functions other than A(t) = A0ekt . For example, if an initial population P0 requires n units of time to double, then the function P (t) = P0 · 2t/n models the size of the population at time t.
In Problems 29–40, find the exact value of each logarithm without using a calculator. (-/-) log3
In Problems 29–40, find the exact value of each logarithm without using a calculator.log8 8
Problems 29 and 30 use the following discussion: Uninhibited growth can be modeled by exponential functions other than A(t) = A0ekt. For example, if an initial population P0 requires n units of time to double, then the function P (t) = P0 · 2t/n models the size of the population at time t.
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. log1/3(x2 + x) log1/3(x2-x) = -1
In Problems 29–36, suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of a and b.ln 1.5
Problems 31–40. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Find the linear function f whose graph contains the points (4, 1) and (8, −5).
Problems 31–40. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Write the logarithmic expressionas the sum and/or difference of logarithms. Express powers as factors.
In Problems 29–36, suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of a and b.ln 0.5
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. log4 (x29) log4 (x + 3) = 3
Problems 31–40. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Determine whether the graphs of the linear functions f (x) = 5x − 1 and g(x) = 1/5 x + 1 are
In Problems 29–40, find the exact value of each logarithm without using a calculator. log1/3 9
Problems 31–40. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus. Find the domain of f(x) x + 3 x² + 2x - 8
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. log, (x - 1) - loga (x + 6) = loga (x - 2) loga (x + 3)
In Problems 29–36, suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of a and b. In 56
In Problems 29–36, suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of a and b.ln 8
In Problems 29–40, find the exact value of each logarithm without using a calculator. log 10
In Problems 29–36, suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of a and b.ln 27
In Problems 29–36, suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of a and b. In 4. 2
In Problems 36–46, solve each equation. Express irrational solutions in exact form. 86+3x = 4
Problems 31–40. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus. If f(x) = 2x - 3 x - 4 and g(x) 3x + 1 +1, find (g - f)(x). x - 3
In Problems 29–40, find the exact value of each logarithm without using a calculator. log 100
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. loga x + loga (x - 2) = loga (x + 4)
In Problems 36–46, solve each equation. Express irrational solutions in exact form. log, 64 = -3
In Problems 36–46, solve each equation. Express irrational solutions in exact form. 3x²+x √√3
In Problems 29–40, find the exact value of each logarithm without using a calculator. log√24
In Problems 36–46, solve each equation. Express irrational solutions in exact form. 5x = 3x+2
Problems 31–40. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus. Solve:+1 X x + 1 2
Problems 31–40. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.For the data provided, use a graphing utility to find the line of best fit. What is the correlation
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. 2 logo (x + 2) = 3 log62 + log, 4
Problems 31–40. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus. 10x 3(2x + 3)2/3 in which only positive exponents appear. Write + 5(2x + 3)¹/3 as a single quotient
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. 2 log 13 (x + 2) = log13 (4x + 7)
In Problems 36–46, solve each equation. Express irrational solutions in exact form. log3√x - 2 = 2
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. 3(log,x log, 2) = 2 log, 4
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. log(x - 1) = log2
In Problems 36–46, solve each equation. Express irrational solutions in exact form. 252x = 5x2-12
Problems 31–40. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Find the x-intercept(s) and y-intercept(s) of the graph of f (x) = 2x2 − 5x + 1.
In Problems 5 – 44, solve each logarithmic equation. Express irrational solutions in exact form. (log 3x)2 - 3 log 3x = 10
In Problems 45–76, solve each exponential equation. Express irrational solutions in exact form. 2x = 10
In Problems 41–52, find the domain of each function. 1 In(₁ x + 1 f(x) = In
In Problems 45–76, solve each exponential equation. Express irrational solutions in exact form. 2x-5 = 8
In Problems 41–52, find the domain of each function. 2 log4 (-5) f(x) = 3 – 2 log4 (-
In Problems 45–76, solve each exponential equation. Express irrational solutions in exact form. 5-* = 25
In Problems 41–52, find the domain of each function. 1 g(x) = In(x - 5)
Problems 31–40. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Use a graphing utility to graph f (x) = x4 − 3x2 + 2x − 1 over the interval [−3, 3]. Then,
In Problems 41–52, find the domain of each function. x + 1 g(x) = log5| X
In Problems 45–76, solve each exponential equation. Express irrational solutions in exact form. 2-x = 1.5
In Problems 45–76, solve each exponential equation. Express irrational solutions in exact form. 3* = 14
In Problems 41–52, find the domain of each function. f(x) = √In x
In Problems 45–76, solve each exponential equation. Express irrational solutions in exact form. 8-* = 1.2
In Problems 41–52, find the domain of each function. h(x)= log3( log3 x X - 1
In Problems 41–52, find the domain of each function.F(x) = log2 x2
In Problems 41–52, find the domain of each function. g(x) = -1. Inx
In Problems 53–60, use a calculator to evaluate each expression. Round your answer to three decimal places. In 10 3 0.04
A business purchased for $650,000 in 2022 is sold in 2025 for $850,000. What is the annual rate of return for this investment?
In Problems 45–76, solve each exponential equation. Express irrational solutions in exact form. +1 3/ 1-x = 5x
In Problems 53–60, use a calculator to evaluate each expression. Round your answer to three decimal places. 2 In 3 -0.1
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