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 -1.0 2. g(x) = 2 + log(x) 1 103 1 10 102 2. II

Q: 5. Find the equation of the line tangent to the graph of y = loge a when a = 36. 6. Show that there…

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Q: (ii).Given that log, (y-1)+log, = z and log, (y+1)+log, x= z – 1, Show that y = 1+8° and find the…

A: Given: log4y-1+log4x2=zlog2y+1-log2x=z-1 . . . . . (equation 2) Concept: Here we shall use the…

Q: The logarithmic function f1x2  ln1x  12 has theasymptote x

A: Given f(x)=ln(x-1)

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Q: Find the function of the form y = log,(x) whose graph is given. y = y 1.5 (3, 1) 1.0 0.5 X 1 2 3 4…

A: We have to find the function

Q: 11-e18 x x+log3¤ Find y' where y =

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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: 11. a) Show that e Hence or otherwise evaluate dx leaving your answer in e+1 e*+1 +1 terms of e and…

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Q: THEOREM 3.7 Derivative of the Natural Exponential Function \frac{d}{d x}\left[e^{x}\right]=e^{x}

A: To Show: ddxex=ex Concept: i. ddxfx=limh→0fx+h-fxhii. L-Hopital's Rule:if limx→cfxgx=00, ±∞±∞,…

Q: Shown to the right is a certain population, in billions, for seven selected years from 1950 through…

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

Q: Suppose h(x) = log 2-. . What is the correct result of the derivative of h with respect to x? In (5)…

A: Solve for the derivative

Q: (a) By drawing the graphs of the functions (x) = 1 + In(1 + x) and g(x) = V in a suitable viewing…

A: In the following diagram the logarithmic function starts out higher than the root function as…

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

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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: The amount of time T (in years) it will take for a population of a certain species to grow from 1550…

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Q: 1 1 1 The value of log, n log,n SI- log,™ -+- t.

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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: 4. Determine the co-ordinates of the point of intersection of the graphs of f(x) = 5(3*) %3D log a…

A: The given curves are  f(x) = 5.3x f(x) = 7.2x

Q: 17. What type of transformation would occur with the following logarithmic functions? f(x) = log,x…

A: Given that: f(x)=logbx& f(x)=logb(-x)

Q: (1) (a) Solve the following: 1 (i) 2*-6 8. (ii) log,(x+3) =1– log,(x-1)

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

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

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Q: 5. Find the derivative of the following Natural Logarithm functions f(x) = In(3x – 4) a. b. 2

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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: 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- -…

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Q: Suppose y m In(x) + b is a logarithmic function that has the points (12.5,2.4) and (62.3,8) on its…

A: We have curve y = m ln(x) + b And it has the points (12.5,2.4) and (62.3,8)

Q: 19) 3 log x + - log y - log z

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Q: 2. 18|ャ 2. 1. 1. 1. 1. y= 2 log2 x 1/4

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Q: - If y=a² 1-log.x and z=a* 1-log, y , then x 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…

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Q: y = log, x %3D 1 1 1 2 4 8. 16 8 4 2 y.

A: given y=log2x complete the table x 116 18 14 12 1 2 4 8 y

Q: 7) y= log, x+ 9 8) y= log, x

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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: 1. Which of the following functions grow faster than e* as x→∞? Which grow at the same rate as e"?…

A: Dear students,  Please find the solutions of 3 parts. In case you need help with the other questions…

Q: 2. i) Now, on your calculators, compute the following: e-24 = log2 3 =

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Q: Here is a graph of y = log10 (x). y 4 3 1 100 200 300 400 500 600 700 800 900 X What does (100,2)…

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Q: Determine the maximum and minimum values of the function f(x)=-4 •log 2x on the interval [1,4]

A: Given function is  on interval [1, 4].

Q: 5. The natural logarithmic function f(x) In x has the %3D asymptote x %3D

A: Given function - f(x) = ln(x)

Q: 4. Match the logarithmic function with its graph. (a) f(x) = log2 x (c) f(x) = -log, * (b) f(x) =…

A: f(x)=log2x fx=log2-x fx=-log2x fx=-log2-x

Q: 5. Find y' and y". In x (1) f(x)= (2) f(x)= log,o * 6. Find y' if y=In(x²+y?)

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

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

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Q: 4.) Find y': Given:y = x²(3 cosh x - 1) 5.) Find y': Given: y = log, csc h (6x³)

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Q: (a) By drawing the graphs of the functions f(x) = 1 + In(1 + x) and g(x) = in a suitable viewing…

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Q: 8. In general a logistic model has an equation of this form: A F(t) = 1+ Be-kt where A > 0, B and k…

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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: 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: 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 = y 1.0F 0.5 (2, 1/3) 0.5 1.0 1.5…

A: The graph from which we are asked to find function is: