Logarithm O A function of the form y = a-b* where a > 0 and either 0 1 O x in the expression a O a in the expression a O The logarithm base b of a number x is the power to which b must be raised in order to equal x

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A: Let N be the population (number) of bacteria at any time t. Hence, the corresponding equation f or…

Q: Magnitude of Earthquakes On the Richter scale, the magnitude R of an earthquake is given by the…

A: Since, base of log is not specified so, I have solved taking both the bases (10 as well as e)

Q: Earthquakes The Richter scale is used to measure the intensity of earthquakes, where intensity…

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Q: Graphs of Logarlthmic Functions Formulas for the Graphs a. f(2) – bg:(z) b. f(z) - log:(z) c. f(z) -…

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Q: interval notation to name the domain of the given function. SHOW ALL WORK. f (x) = log4() Domain :…

A: According to question given thatf(x)=log4(xx+3)g(x)=ln(ex+4)h(x)=log(x3-4x)

Q: Prove using algebraic manipulations and logarithmic operations that the periods of deferral can be…

A: Given that, d=logi+1R×1+in-1iPVdef-n Here, period of deferral=P. We also know that if a≠0 then,…

Q: O EXPONENTIAL AND LOGARITHMIC FUNCTIONS Brittar Writing and evaluating a function modeling…

A: topic - exponential function

Q: notation.) h(x) = ln(x + 7)     Find the x-intercept. (x, y) =          Find the vertical…

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Q: Use a graphing utility to graph f and g in the same viewing window. Approximate the point of…

A: Therefore from graph the point of intersection is (2.924 , 4)

Q: . Numerical Analysis(a) Complete the table for the function f(x) = (ln x)x.x 1 5 10 102 104…

A: 91. The given function is fx=ln xx. x 1 5 10 102 104 106 fx 0 0.321 0.230 0.046 9.21×10-4…

Q: . Rates of Growth(a) By drawing the graphs of the functions

A: a. Consider both the functions, fx=1+ln1+x and gx=x use the graphing utility to graph both functions…

Q: The capital value of an asset is sometimes defined as the present value of all future net earnings.…

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Q: Magnitude of Earthquakes On the Richter scale, the magnitude R of an earthquake is given by the…

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A: To sketch the graph of the function and determine its range and domain.

Q: Wealth Distribution Vilfredo Pareto (1848-1923) observed that most of the wealth of a country is…

A: The given equation is a logarithmic function, hence logarithmic properties help to find the solution…

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A: To determine the exponential form of part (a) and logarithmic form of part (b).

Q: Depreciation. After t years, the value of a car that originally cost $28,000 is given by     V(t) =…

A: Property of logarithm: logxn=nlogx The worth of a car after t is given by: V(t)=28,000(0.75)t (a) We…

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A: To determine the time t when the temperature of bottle inside the cooler is 20 degree Celsius.

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A: Lets make a table for the given function.

Q: Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of…

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Q: Writing Exponential Functions Which of the following are TRUE about Logarithms of the form log, x =…

A: We can make it easier for you.

Q: 1. Biodiversity Some biologists model the number of species S in a fixed area A (such as an island)…

A: Part (a) - Given relationship - logS = logc+klogAwhere,S = number of speciesA = ArealogS =…

Q: e numerical value of the log expression. log a = -2 log b = -9 log c= 9 log Va5

A: Explanation of the answer is as follows

Q: The decibel level for the intensity of a sound is a logarithmic scale defined by D = 10 log10 I+…

A: The decibel level for the intensity of a sound is a logarithmic scale defined by D=10log10I+120…

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A: (a).Obtain the value of the given expression as follows:

Q: I Logarithmic Form Express the equation in logarithmic form. (b) 5- = (b) 10- = 17. (a) 10* = 10,000…

A: `17(a)-Given- 104=10,000 To express- the above expression in the logarithmic form. Concept Used- The…

Q: solve the logarithmic equation for x (enter your answers as a comma-separated list) a)…

A: solve the logarithmic equation for x (enter your answers as a comma-separated list) a)…

Q: 57-58 - Graphing Logarithmic Functions Match the logarith- mic function with one of the graphs…

A: Given functions are f(x)=2+lnxf(x)=lnx-2

Q: 24-29 Solve for x without using a calculating utility. Use the natural logarithm anywhere that…

A: According to our company answering guideline if question having multiple part is posted we can only…

Q: 34.Half-life decay model is the time it takes for to half of its original quantity. It is denoted…

A: Half life decay formula is, At=A012td

Q: (u²+1)° du из

A: The integration gives the function whose derivative is given. Integration is nothing but adding all…

Q: log x² loga +log(xy)² +loga (*)-( log x loga xy • a, x and y are real numbers that are greater than…

A: An expression is given as, logaaxy+logaxy2+logaxy-2log xlog a-alogax2, where a, x and y are real…

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A: Given that the equation is

Q: The capital value of an asset is sometimes defined as the present value of all future net earnings.…

A: Solution

Q: Compound interest Solve the compound interest formula nt A = P + for t by using natural logarithms.

A: Given that the compound interest formula, A=P1+rnnt…

Q: 10. The power gain in decibels of an electronic device is determined by the logarithmic expression…

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Q: Biodiversity Some biologists model the number of species Sin a fixed area A (such as an island) by…

A: Given: logS=logc+klogA

Q: Consider y = f (x) = –3 – 3 * log 1 (-4x + 8) |

A: The given function is, f(x)=-3-3log0.5(-4x+8) The graph is, The sign is positive till x<15. From…

Q: Earthquake frequency Let n be the average number of earthquakes per year that have magnitudes…

A: We have, the average number of earthquakes per year that have magnitudes between Rand (R+1) on the…

Q: Domain of an exponential function y= a", where a is a positive real number other than 1, is all real…

A: Here, the function is: y=f(x)=ax which is an exponential function with the base a where is a real…

Q: Solving Logarithms using the Change of Base Formula Use the change of base formula to rewrite the…

A: Change of Base formula : logab = log blog a

Q: Use a graphing utility to graph f and g in the same viewing window. Approximate the point of…

A: Given functions are: f(x) = 6 log_5 (x) g(x) = 4 The graphs of f(x) and g(x) in the same graphing…

Q: Rewrite e^−9.1=h as an equivalent logarithmic equation

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Q: solve the logarithmic equation for x. (enter your answers as a comma- separated list.) a)…

A: a) log(4x+1)=14x+1=e4x=e-1x=e-14

Q: Rewrite e−7.7=h as an equivalent logarithmic equation.

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Q: 15.  find the domain of logarithmic function  f(x)=log(15-x) the domain of f(x)=log(15-x) is:____

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Q: 3 log 1728 a) Find the value of 36 1+ log 0.64+ log 125 b) log () = (log x + logy) then show that +)…

A: Topic:- algebra

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Q: Properties of Logarithms: Match each expression to the properties. Quotient Rule Product Rule Power…

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