4. Match the logarithmic function with its graph. (a) f(x) = log2 x (c) f(x) = -log, * (b) f(x) = log;(-x) (d) f(x) = -log2(-x) %3! II y A 0. +++ 2 LV y 1, 2

Q: 1) 2-log₂ y = 2log₂ (x+y) log₂ (x+y)+ log₂ (x² − xy + y²)=1

A: We have to solve given problems:

Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A: Given, graph where y=0 at x=3 y=log3x-1 satisfy this given graph  put x=3 y=log33-1y=1-1=0 now find…

Q: 14. For the logarithmic function (x)=log, (x-4), explain why x=0 is not in its domain.

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Q: Find y’ when y^2 e^2x = 3y + x^2 and y(0) = 3 a. -5 b. -7 c. -6 d. -4 e. -2 f. -1 2. Find the…

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Q: e-2x 2+x In 3x csc' x -) f(x)=. b)Use logarithm to differentiate: y = (3х-1)

A: a)f(x)=ln(3x)csc2x-x5e-x3f(x)=sin2x. ln(3x)-x5e-x3differentiating w.r.t…

Q: 11-e18 x x+log3¤ Find y' where y =

A:

Q: log. (2-1)-log. (x-u)= 2 log Cao) (x-4)=

A: Use the following properties of the logarithmic functions, while solving this equation. log a - log…

Q: 7. f(x) = 6e* + log2(7x² + 3x + 1) f'(x) =

A: Given: fx=6ex+log27x2+3x+1 Differentiating fx with respect to x, f'x=ddx6ex+log27x2+3x+1…

Q: The solution to log₃(log₂x) = 1 , is:   A. x=4 B. x=8 C. x=1 D. x=2

A: Formula: If logab =c  Then b=ac

Q: Find the function of the form y = log,(x) whose graph is given. y = y 1.0F 0.5 (4, 1/3) 1 2 3 4 5…

A: We have to find logarithm function

Q: 2. The function f(x) = log, x is the logarithm function %3D So f(9) = -- f()- with base %3D f(1) =…

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Q: Determine the maximum and minimum values of the function f(x)= -4 x log2x on the interval [1,4]

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Q: 6. h(t)=- 2-1 7. g(x)%= 1-Vx-2 8. f(x) tanx 9. (x) = log(1-2x) 10. y (1-x

A: Please check step 2 for the solution.!

Q: The logarithmic parent function y = log (x) has been transformed. What is the equation of the new…

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Q: Consider the function shown below. y 5 5 8. The equation of the graph shown above, where the base…

A:

Q: 27. The y-intercept of the graph of the inverse of y = log,a is O (0, 1) O No y-intercept (n) O 0, 2…

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Q: Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value…

A: Given

Q: A relationship between (y – 2) and (x – 1) is given by (y – 2) = ab(x -1). . With a suitable linear…

A:

Q: A relationship between (y – 2) and (x- 1)is given by (y – 2) = a b(x-1). With a suitable lincar…

A: relationship between (y-2) and (x-1) is (y-2) = ab(x-1) So we will find the solution using logarithm…

Q: [ Зх +1 x – 3 A 3x + log (x- 3) 3x + 10log (x- 3) в Зх + log. (x- 3) +с 3x + 10log (x – 3) + c

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Q: 1. Find the function of the form y = log,(x) whose graph is given. y = y 1.5 (5, 1) 1.0 0.5 5 6 -0,5…

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Q: (C) y = -log3 x (G) y = log3(1 – x) (A) y = log3 x (B) y = log3(-x) (F) y = log3(x – 1) (D) y =…

A: Find the following graph:A) y=log3xB) y=log3(-x)C) y=-log3xD) y=-log3(-x)E) y=log3x-1F)…

Q: 1. Find the value of y. a. log;25 y b. logy32 = 5 c. log,y

A:

Q: 1.Solve by logarithmic differentiation -(x+1)(x+2)(x+3)2 Y=In(- V(x+3)3 (x+4)*

A:

Q: 1. Below shows the graph of y=2* ,sketch the graph of (a) y=(-2) (b) y= log₂ x (c) y= log₁x 2 -4 -3…

A: Solution:-

Q: 4. g(x) = 4x³ log, X 5. f(x) = 10* · e* 2x-x2 logze e²10* c. e*10* + loge e*(x-3) x²-4x+4 e. 4x²(3…

A: "Since you have posted a two questions, we will solve first question for you. To get another…

Q: 5. y = - 5 log , (11x - 4) 6. y = 2 log e 4x°3 7. y = 12x² log 8x 8. y = In 25x 5x3

A:

Q: Sketch on graph a) y = 2x-3+ 3  b) y = log2 (x – 4)

A: a)

Q: 12. f(x) = 3* %3D 15. f(x) = %3D 18. f(x) = log3X

A:

Q: A linear relationship between the logarithms of the variable x and y which are connected by the…

A: We Know that Logarithmic Rule, log(ab) =log(a) +log(b) log(an) =nlog(a) By using above rule we find…

Q: 1 Find the exponential function f(x) = a* that passes through the point - 3, 216 and has a y- -…

A:

Q: 7. log;(x²) =, x log5(_ 8. log,(y*) = x log-(. 9. log(V1000) = – x log( %3D

A:

Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A: The graph of a logarithmic function is given. Match each graph to one of the following function…

Q: 25^x-2 = 5^3x   3e^-5x = 132   -4(5^x) = -68   e^2x-7e^x+10=0   ln3x = 8.2   log(x+2) -…

A:

Q: 2 2- X The integral loge dx is equal to

A: Introduction :

Q: Find the equation of the curve y=g(x)=ax+b, which osculates with the graph of the logarithmic…

A:

Q: II. Determine the derivative of the ff. logarithmic functions 1. y = 25 In 5x 2. y = -10 In 3x4 3. у…

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Q: ) for the log equation log(x+1) + log(x-2) =1 The number of solution is ________. The sum of…

A:

Q: 2. Compute for the value of x in a given logarithmic inequalities loga(x+1) > log:(x2). a. x > ½ b.…

A:

Q: - f(x) = - f(x) = x-2 g(x) = 5 In x - 2* g(x) = 4x' log, x %3D f(x) = 10* · e*

A: Solution of question is written in below steps.

Q: log/ yx-y+3 1-4xt y 4X - log 3 4x ニ

A: Graph

Q: a) Find the Cost Function (C(x))? b) When the function (C(1) the fixed constant (K $22 ), at the…

A:

Q: 4. y = log(x² – 7) 5. y = ln х+2 x-3 31

A:

Q: 1. Below shows the graph of y=2* ,sketch the graph of (a) (b) y=log, x (c) y=log, x 4 3 2 -4 -3 -2…

A: If you have any doubts in the solution please ask me  in comments i will reply you as soon as…

Q: growth model for a population of bacteria is given as P(x) = 25e 2t where t is measured in days.…

A:

Q: 8. Without a calculator, match the functions y = 2, y = e, y = 3, y = In x, y = log x with the…

A: Without using a calculator, to match the functions, y=2x, y=e-x, y=3x, y=ln x, y=log x with the…

Q: 3. log (x²+x)-log.(x-1)-2 А. 2 Oi J. оо о で В. 16 C..X D. - 16 -

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

Q: The natural logarithmic function f1x2  ln x has theasymptote x 

A: Graph of f(x):

Q: Find the function of the form y = loga(x) whose graph is given. y 1.0| 0.5 (2, 1/3) 0.5 1.0 1.5 2.0…

A: Function passes through the point (2,1/3) which satisfy the function