85-88 - Domain of a Composition Find the functions fog and gof and their domains. 85. f(x) = 2", g(x) = x + 1 %3D 86. f(x) = 3', g(x) = x + 1 87. f(x) = log, x, g(x) = x - 2 88. f(x) = log x, g(x) = x

Q: 1. Given y = log3 9. The value of y= 2 2. If log(x + 2) = 4, then the value of z is 9998 3. If log,…

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Q: f(x)= log25 x +2 then f-1(x) = (x- 2).25x None of these e4(x-2) e25(x-2) e5(r-2)2

A: If logab=k , then it can be written that b=ak .

Q: 1-4 - Evaluating Exponential Functions Use a calculator to find the indicated values of the…

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Q: 51-56 - Combining Logarithmic Expressions Combine into a single logarithm. 51. log 6 + 4 log 2 52.…

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Q: 4 f)-log, (x) 3 2 (5, 1) Consider the graph of f(x) = log 5 (x) as shown, what is its intercept? (1,…

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Q: 89. Effect of Predation on Population Growth Suppose that N(t) de- notes the size of a population at…

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Q: 53–56 ■ Finding Logarithmic Functions Find the function ofthe form y  loga x whose graph is given.

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Q: Vx-5 5. Find for y = In| Hint : Use the properties of the logarithm dx \4x3+1 function before…

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Q: (7) Exponential functions of the form b (exponential functions where A = 1) are also just…

A: To find the value of k that will give 2x=10kx.

Q: 4) 8 log b -log b²c CES * Laws of Logarithm Let b > 0, b # 1 and let y e R. For x > 0, y > 0, then…

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

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Q: 51–56 ■ Combining Logarithmic Expressions Combine into asingle logarithm

A: (51)        Given: log 6 + 4 log 2 Apply: k.log m=log mk             =log 6 + log 24 Use:  log M+log…

Q: At the beginning of a study, a certain culture of bacteria has a population of 610. The population…

A: Given At the beginning of a study, a certain culture of bacteria has a population of 610. The…

Q: e) log4 (x + 2) − log4 (x − 1) = 1 (f) log2 (x − 1) − log2 (x + 3) = log2 ( 1 x

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

Q: log2(x-4)+log2(×-10)=4

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Q: 57–58 ■ Graphing Logarithmic Functions Match the logarithmic function with one of the graphs labeled…

A: 57. Given logarithmic equation is: fx=2+ln x The graph of this equation is given below:

Q: The effects of transforming the graph of the parent base-10 logarithm function, f(x) = log(x), are…

A: Given- The effects of transforming the graph of the parent base-10 logarithm function, fx = logx,…

Q: 20. A certain bacteria is known to grow exponentially, with the population at time t given by the…

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Q: 1. True/False: Determine whether each of the statements that follow is true or false. If a statement…

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Q: f(x) = log25 X +2 then f-1(x) = %3D (x- 2).25x None of these e4(x-2) e25(x-2) e5(x-2)2

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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: Thorium-134 Thorium-234 is a radioactive isotope that decays at a rate proportional to the amount…

A: (a) The general solution is Qt=Q0ekt. Here Q is measured in grams and t in weeks. From given,…

Q: 101. e3 = 10 102. e-2r = 103. e2r+5 = 8 105. log7(x + 4) = 2 106. log5 (x + x + 4) = 2 107. log2 8*…

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Q: An initial population of 80 fish is introduced into a lake. This fish population grows according to…

A: We will find the fish population.

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

A: topic - logarithmic function

Q: log3 x log; 5 log, x = log, x' –en2 %3D

A: The equation is, log3xlog35.log5x=log5x3-eln2

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

A: Solution

Q: Differentiation of Exponential Functions e2ax + e-2ax 1) y"of y = e2ax e-2ax

A: Quotient rule of differentiation : ddxuv =v.dudx-u.dvdxv2 deaxdx=a.eax

Q: Logarithms express in terms of logax, logay and logaz. Loga(x?yz³) Log (x/y) C. Loga(x vy /z) a.

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Q: 139% Exponential form Logarithm form Missing value 125 X = S 53 = x Log, x = 3 X = 34 = x Log3 X = 4…

A: we have to find the missing value

Q: 1-4 . Evaluating Exponential Functions Use a calculator to find the indicated values of the…

A: We have to find the value of given exponential function   The given function is f(x) = 5x  we have…

Q: At the beginning of a study, a certain culture of bacteria has a population of 460. The population…

A: Given:

Q: The logistic growth function P(x)= 1+271e-0-122, modals the percentage, P(x), of Americans who are x…

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Q: log4(x+2)−log4(x−1)=1

A: log4(x+2)−log4(x−1)=1

Q: Find the formula for an exponential function that passes through the two points given. (x, y) = (0,…

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Q: 1. Find an exponential function of the form f(x) = bx such that the graph of f passes through the…

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

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Q: loga (x- 7) +loga (x - 2) = loga (x - 4) + loga(x + 12) %3D

A: Given an equation of logarithmic functions in terms of 'x' variable with base 'a'.  We need to find…

Q: The amount A of dollars accumulated after t vears through an investment of Ag dollars at an interest…

A: To find the doubling time for an investment made at the following interest rate: (A) 7% interest…

Q: garithm Exponential form Logarithm form Missing value 53 = x Logsx = 3 %3D 34 = x Log3 x = 4 %3D 5n…

A: According to the guidelines issued by the company we are supposed to answer only first three sub…

Q: y=-3log10 (x-1) + 2 Parent Function y = log10x (x, y) VA Domain Range State the transformations…

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Q: Solve for all possible values of x. Use exact values. a) log x – log 3 = log 13 + log 2 b) log.(x +…

A: Solving the problem by obtaining the values of x and n.

Q: A certain population has a yearly per capita growth rate of 2.2%, and the initial value is 5…

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Q: An exponential function f(x) with a base of i has been compressed vertically by a factor of and…

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Q: The radioactive properties of the isotope technetium-99m can be used in combination with a tin…

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. Please post other…

Q: 1-4- Evaluating Exponential Functions Use a calculator to find the indicated values of the…

A: Substitution of the values into the given function helps to find the values of the respective…

Q: Logarithmic 3. f(x) log, (x + 2x + 5) when x 10 2x一17 4. f(x) log +5ー15+1 when x = 9 KAS

A: f(x)=log5x2+2x+5 , when x=10f(x)=log2x-17x3+5x2-15x+1 , when x=9

Q: Radioactive Carbon-14 The percentage P of radioactive carbon- 14 remaining in a fossil after t years…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A continuous income stream has an annual rate of flow at time t given by 0.02t f(t) = 12,000e°.…

A: Given data: ft=12,000e0.02t (dollars per year) r=4%=0.04t=6 years For given an interest rate r, the…

Q: f(x) = -3 + log(x+ 5) 10 -10 5 10 -5 -10 State the domain а. [-5, о0) b. [-3, о) С. (-3, о) d. (-5,…

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