11. A student is solving the equation log, (a – 2) + log, (2a + 1) = 2, where a > 2, by using an algebraic process. By correctly simplifying the equation above, the student could obtain the equation A. 2a? - 5a –2 = 0 В. 2а?-За-4%3D0 C.) a - 3a- 2 = 0 D. a-3a+ 1 = 0

11. A student is solving the equation log, (a – 2) + log, (2a + 1) = 2, where a > 2, by using an algebraic process. By correctly simplifying the equation above, the student could obtain the equation A. 2a? - 5a –2 = 0 В. 2а?-За-4%3D0 C.) a - 3a- 2 = 0 D. a-3a+ 1 = 0

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: According to estimates, the global emissions of CO2 in the energy sector will total about 36 billion…

A: Given that the amount of CO2 emissions in the energy sector in 2020 is about 36 billion metric tons.…

Q: The consumer price index, C, depends on the current value of gross regional domestic expenditure E,…

A: Let's find.

Q: (5) Suppose 2 mg of a drug is injected into a person's bloodstream. As it metabolizes, the amount of…

A: Initially 2 mg of drug is injected and it decreases at the rate of 4% each hourWhen must the person…

Q: 6. Substitute that time into either x equation to determine where the tackle will occur. 7. Who wins…

A: 6 Now, t=3 sec First we will enter this equation into x=32-12tx=32-123x=32-36x=-4 Now, enter this…

Q: scientist finds that an intial bacteria count was 45 million and 5 hours later, the count was up to…

A: Please refer to the image below

Q: Find the exact solution for e2x−2ex−35=0. If there is no solution, enter NA. If there is no…

A: Given equation e2x - 2ex - 35 = 0

Q: A certain radioactive element decays over time according to the equation where 4= the number of…

A: Solution attached below

Q: Solve: [Cax+3)*D²+6(2z+3)D +bJy 18 log (az+3) 22+3 2x+3 y = 22+3 alog.cax+3) -4

A: The given equation is: 2x+32D2+62x+3D+6y=18log2x+3 Calculate the value of y.

Q: Which graph could be used to find the solution(s) to the system of equations y = log₂(x + 2) and…

A: The system of equations y=log2x+2 and y=x3-2x2-5x+6

Q: A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

Q: Suppose that an equation for investments and savings is described by an exponential function: Where…

A: Given information: An equation for investments and savings is described by an exponential function.

Q: In Problems 5–7, solve each equation. 5. 3' = 243 6. log,16 = 2 7. logs x = 4

Q: 4. One yeast colony of 200 cells is growing exponentially by 10% each hour. Another yeast colony of…

A: To solve the following problem

Q: ssume a person winks at a constant rate of (11.5 ± 1.5) winks per minute. He/she winks repeatedly…

A: To determine how long does the person's lid is closed.

Q: The Gibbs Free Energy equation is given by the equation: AG = AG° + RTln Q Where: AG = Gibbs Free…

A: We have to find

Q: Find the Solution set of The followmg equations 2Lo937-310g3 9=7 and LogI3 x-21093 y= 4 and Logs…

A: The given equations are: 2log3x-3log3y=7 (1)log3x-2log3y=4 (2)

Q: Suppose in 2009, there were about 8 million Internet users in the Philippines. The number of…

Q: population doubles in size every 29 years assuming exponential growth, find the a. annual growth…

Q: A small bank is trying to determine how many tellers to employ. The total cost of employing a teller…

Q: 4. If log, 2(x + 6) =log, 36, then the value æ is 5. If log, æ = 0.5 and log, y = 1.16, then the…

A: We have to solve given logarithm equations. In the first equation we have to find the value of x.…

Q: 2. At the start of the experiment, there are 400 bacteria. If the bacteria follow an exponential…

Q: Scientists can determine the age of ancient objects by the method of radiocarbon dating. The…

A: Given query is to find the age of the parchment.

Q: When it comes to bacteria growing by binary fission, its generation time will be the time interval…

A: Given, G=t3.3 logbB; G= generation time t= time interval in hours or minutes b=…

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: The average pounds of fruits is 130 pounds, and the selling price is $0.6 per pound. The yield per…

Q: 4. The half-life of carbon-14 is approximately 6000 years. How much of 800 g of this substance will…

Q: The number of days a barrel of water lasts varies inversely with the people who consume it. If a…

Q: 2-Suppose that the half-life of a certain radioactive substance is 2 days and there are 50g…

A: After each half life the amount left will be half the initial amount.

Q: It is estimated that i months from now, the population of a certain town will be changing at the…

Q: Suppose the amount of Carbon-14 remaining in a sample of 100 milligrams after X years can be…

Q: A man with $30,000 to invest decides to diversify his investments by placing $15,000 in an account…

Q: a) a sample of iodine-131 has a weight of 3 mg and a half life of approximately 8 days. how much of…

Q: A certain radioactive material is known to decay at a rate proportional to the square root of the…

A: We will find out the required solution.

Q: Method 2: 51-3 = 10 => log, (5-) = log, 10 t-3 = log, 1C by(2) a) 4·73t-1 = 7 35t b) 7 – 4 = 6 c)…

Q: Element X decays radioactively with a half life of 9 minutes. If there are 170 grams of Element X,…

A: Given- Element X decays radioactively with a half life of 9 minutes and there are 170 grams of…

Q: 3. Ununoctium decays naturally at the rate proportional to the original quantity. If there are 20…

Q: You go to the doctor and he gives you 13 milligrams of radioactive dye which decays exponentially.…

A: Exponential model is given by y=y0ekt, where y0 is the initial amount of the element, k is the…

Q: alf-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only…

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: To find: How many weeks should the grower wait to maximise the sales revenue per tree. Find the…

Q: 4- If the equation y= ae" can be written in linear form Y=A + BX, what are Y, X, A, B? a) Y = logy,…

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: The half-life of Fermium-253 is 3 days. If a sample initially contains 100 mg, how many milligrams…

A: Half-life Formula: Where, N(t) = amount left after time t N0 = Initial amount…

Q: In Utah, it is illegal for a person to drive if their blood alcohol level (BAC) is higher than 0.05.…

A: Given that, it is illegal for a person to drive if their blood alcohol level (BAC) is higher than…

Q: 8. In Equation 2, holding all other factors constant, when Total_Assets increases by 1%, what is the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4. One bucket starts at noon with two liters of water, and water is gradually leaking out at a rate…

A: As per our guidelines I am solving only first problem please repost other question. For first…

Q: The estimated Philippine population is 90 million in 2010 and the estimated growth rate was 2.4 %…

Q: 17. When solving log(4x+5)-2log5=3 , which of the following equations will result? (A) 100x+125 =…

Q: Solve the equation and choose the exact solution. -3. 44z+10 - 8 = -51 43 - 10+log2 3 = x 4 O= log,…

A: Given equation: -3·44x+10-8=-51 To determine: The vlaue of x.

Q: Suppose two students are memorizing the elements on a list according to the rate of change equation:…

Q: 30. In modeling the reaction of a drug in the patient's body, the daily dose of the drug in the…

A: Here first we find a sequence of amount of drug given at nth time and then will find the limit of…

Q: What type of problem to log with mix help solve how do use logs to solve them?

Q: Element X decays radioactively with a half life of 9 minutes. If there are 760 grams of Element X,…

A: Formula for half life is as below : N(t)=19 gramsN0=760t = ?t12=9 minutes

Question

11.
A student is solving the equation log, (a – 2) + log, (2a + 1) = 2, where a > 2, by using an algebraic process.
By correctly simplifying the equation above, the student could obtain the equation
А. 2а?-5а-2%3 0
B. 2a - 3a -4 = 0
С.) а? -За - 2 30
D. a - 3a+ 1 = 0

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Transcendental Expression$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 127 pounds, and will sell for $4.6 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 2.1 pounds, while the price per pound will decrease by $0.07. A) How many weeks should the grower wait before harvesting the apples in order to maximize the sales revenue per tree? (Round your answer to the nearest tenth of a week.) Answer: __________ (rounded to the nearest tenth) B) Use your answer in part A to find the actual maximum revenue that can be expected. (Round your answer to the nearest dollar.) Answer: ____________ dollars (rounded to the nearest dollar)
An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 126 pounds, and will sell for $4.7 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 1.8 pounds, while the price per pound will decrease by $0.06.A) How many weeks should the grower wait before harvesting the apples in order to maximize the sales revenue per tree? (Round your answer to the nearest tenth of a week.)
An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 130 pounds, and will sell for $0.6 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 7 pounds, while the price per pound will decrease by $0.02.A) How many weeks should the grower wait before harvesting the apples in order to maximize the sales revenue per tree? (Round your answer to the nearest tenth of a week.)Answer: (rounded to the nearest tenth)B) Use your answer in part A to find the actual maximum revenue that can be expected. (Round your answer to the nearest dollar.)Answer: dollars (rounded to the nearest dollar)
Suppose that poaching reduces the population of an endangered animal by 4% per year. Further suppose that when the population of this animal falls below 70, it's extinction is inevitable. If the current population of the animal is 1500, when will it face extinction?
How can the mortality force be changed for the share of newborns who will survive the first year will become 10% larger? Find the answer for the case of the first k years. When does the problem have a solution? Is a solution unique?
In 2000, 31% of U.S. adults viewed a college education as essential for success. For the period from 2000 through 2010, this percentage increased byapproximately 2.4 each year. The percentage of U.S. adults who viewed a college education as essential for success x years after 2000 can be represented by__________.
A population of 1,500 insects grows exponentially by a factor of 3 every week. Select ALL equations that represent or approximate the population, p, as a function of time in days, t, since the population was 1,500.
Suppose the amount of Carbon-14 remaining in a sample of 100 milligrams after X years can be described by A(x)=100e-0.01294x A) How many milligrams of Carbon-14 are initially present? B) How many years will it take for the amount of Carbon-14 to decay to 3 Milligrams?
Find a formula for the exponential function passing through the points (-3, 5/8) and (2, 20).y =
The estimated Philippine population is 90 million in 2010 and the estimated growth rate was 2.4 % per year. That is n(2010) = 9 x107 and k= 0.024. So an equation for predicting the population with the stated initial condition and growth rate of 2010 is
Find the equation of the guadratic function with vertex (-5,3) and which passes through the point (2,9). Find an exponential function y=a*b^x which passes through the points (3,1) and (5,4).
3. Two brothers decide to invest in a vacant lot which cost $51 000. The first brother contributes $1000 more than one-quarter of what the second brother contributes. How much does each brother contribute?a. B1 = 11000, B2 = 40000b. B1 = 40000, B2 = 11000c. B1 = 12500, B2 = 38500d. B1 = 50000, B2 = 10000e. B1 = 1000, B2 = 50000 4. Solve for x and y: 4x + 9y = 72, 6x + 15y = 90a. x = 45, y = -12b. x = -45, y = 12c. x = 45, y = 12d. x = -45, y = -12e. x = -45, y = -15