The logarithm of a quotient of two numbers is the same as the -Select-- of the logarithms of these numbers. So log= = log; (4) - --Select- product difference Submit Answer sum quotient

Q: Solve each logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

A: Given logarithm equation is: log2y-3=-log2y+2 To find the exact value of y.

Q: Often new technology spreads exponentially. Between 1995 and 2005, each year the number of Internet…

A: (a) Given that between 1995 and 2005, each year the number of Internet domain hosts was 1.43 times…

Q: single, simplified logarithm Express as a 1- (log510 + 2log53)

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Q: 6. A bacteria is known to double every 20 minutes. How long will it take 5mg of bacteria to grow to…

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Q: Suppose an insect population increases by a constant percentage each month. Explain why the number…

A: Exponential growth increases at an expanding rate with the rate of change for y being proportional…

Q: Evaluate log;(-5)

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Q: On March 31th, the number of people testing positive for Covid-19 in the state of Colorado was 2966.…

A: The number of cases on March 31th = 2966. The number of cases on July 28th = 45,314. The number of…

Q: Between which two consecutive integers is the value of the common logarithm of 100,000,421?

A: 100,000,421 is between 100,000,000 and 1,000,000,000.…

Q: Acell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Note that increasing from one to two cells means the population should be doubled. On the other hand…

Q: On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 4% interest,…

A: it is given that, a parent deposits $30,000 in a trust fund that pays 4% interest, compounded…

Q: Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The…

A: Given:    Since we have given that Number of bacteria initially = 1   It triples in number every 30…

Q: Find exponential equation by using these two point (-2,6) and (3,1)

A: Consider y=aebx for some real numbers a and b. As (-2,6) satisfies the equation,…

Q: popultaion of a southern city folow exponential law.  if the population doubled in size over 14…

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Q: A culture of a certain bacterium grows according to the law of exponential growth. If there were 130…

A: 1. The exponential growth is given by the where N(t) is the no of insects at a time t .N0 is the…

Q: A login for a bank website consists of 2 letters followed by 5 numbers.  If the number or letter can…

A: Given that a bank website consists of two letters followed by five numbers.

Q: The number of women graduating from​ 4-yr colleges in a particular country grew…

A: let the exponential function is   P(t) =P0 ert

Q: Is it possible for a logarithmic function to have a domain of (-∞,4)? Why or why not? Include an…

A: We have to find a log function which domain is (-∞,4)

Q: Fill in each blank so that the resulting statement is true.

A: we know that logamn=logam-logan so, we can say that the quotient rule for logarithms states that…

Q: Suppose that the bacteria in a colony can grow unchecked, by the law of exponential change. The…

A: The colony starts with 1 bacterium and doubles every half-hour.So doubling time of the bacteria =…

Q: On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 5% interest,…

A: To find the balance in this account on the child's 24th birthday when compounded continuously

Q: The logarithm of a quotient of two numbers is the same as the -Select-v of the logarithms of these…

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Q: Explain why. A HOW IS the graph of flt) = logyt related to th graph of glt) - 4*?

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Q: IF LOGnB^2= 5 determine the values for logbN^3

A: Please refer the attached image for complete solution.

Q: A cell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Definition of the exponential functions helps to find the answer to the problem. A function is said…

Q: Express in terms of sums and differences of logarithms:

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Q: Suppose that $70000 is invested at 9% interest per year. Find the amount of money in the account…

A: Given: Principal (P) = 70000 Interest rate (r) = 9% = 9 / 100 = 0.09 time (t) = 6 years

Q: between which two consecutive integers does log2 75 lie

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Q: Approximate the logarithm using the properties of logarithms, given the values logb(2) 0.3562,…

A: Solution of given question is written in below steps.

Q: Among various populations of plants or animals, diseases spread exponentially. Use the function…

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Q: Between which two consecutive integers must log, (40) lie? Be sure to explain your reasoning. //…

A: We have the given number as log340 Let us consider that, 33<40<34

Q: A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. How do…

A: Consider the given information ,tumor is injected with 0.9gm

Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

A: Let's find.

Q: 1. () Completely expant the followaing into the sum or difference of logariths or Constant multiples…

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Q: What exponential function will pass through both (2,4) and (5,7)?

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Q: Express in terms of sums and differences of logarithms

A: Recall the following facts.

Q: Suppose that $2,300 is invested in an account that pays interest compounded continuously. Find the…

A: Given, Investment = $2300 Amount = $3300 Interest rate = r = 3.5% The formula for the amount of time…

Q: log₂ 288-=-=-log₂ 2

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Q: A login for a bank website consists of 2 letters followed by 5 numbers.  If only the letter cannot…

A: Given- A login for a bank website consists of 2 letters followed by 5 numbers. To find- If only the…

Q: A computer loses 35% of of its value each year. If the computer cost $600 new, calculate its value…

A: A computer loses 35% of of its value each year. If the computer cost $600 new, calculate its value…

Q: the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: Given query is to find the exponential Moda for COVID cases.

Q: The logarithm of a number raised to a power is the same as the  ---Select--- number raised to a…

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Q: 2. How many 3-letter words with or without meaning, can be formed out of the letters of the word,…

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Q: Approximate the logarithm using the properties of logarithms, given the values logb(2) ≈ 0.3562,…

A: To evaluate, logb(21000)

Q: 5. What term number contains x* in x' + identifying the exponential pattern on the variable x,…

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Q: Suppose that $40000 is invested at 7% interest per year. Find the amount of money in the account…

A: Given, P = 40000 dollars r =  0.07 t = 6 year   If the interest rate is compounded n times per year,…

Q: A sample of bacteria taken from a river has an initial concentrationof 2.5million bacteria per…

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Q: .Use properties of logarithms to expand the logarithmic expressions (No decimal answers). с. In

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Q: The logarithm of a quotient of two numbers is th

A: The objective is to solve the given problem

Q: The time that it takes for a computer system to fail is exponential with mean 1700 hours. If a lab…

A: Let X be the time that it takes for a computer system to fail is exponential with mean 1700 hours.…

Q: Find a formula for the exponential function passing through the points (-3, 6250) and (2, 2) f(x) =…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.