For the following exercises, match each function in Figure 17 with the letter corresponding to its graph. 27. f(x) = ln(x) 29. h(x) = log5

Q: dy (x² + 1)? if y = 2) Find dx (x² – 1)³ a) without the aid of logarithmic properties b) using…

A: Here we have to find the the derivative of y

Q: stimate the instantaneous rate of change of f(x)=logx at x= a) 0.000087 b) 0.0043 c) 2 d) 0.00043

A: Topic:- calculus

Q: Determine the y-intercept of the exponential function h(x)=e^x

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Q: Find dx by first using algebraic properties of the natural logarithm (x+7)(x + 8)³ (x + 2)°(x + 3)°…

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Q: Solve for x in the following equation: 4.7 = -log(1.76 E -5) + log (x / 0.16)

A: This question is based on properties of logarithm.

Q: For f(z) = 3e7'the value of log(f(z)) is

A: Given,       f(z)=3eπ6i

Q: Identify the value of the function f(x)=log10x at x = 315, Round to 3 decimal places. 3.498 2.498…

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Q: y = log( 2x'Vx² -1) 8.

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Q: ln(x2 − 10) + ln(9) = ln(10

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Q: For the following exercises, find f '(x) for each function. f6) = log (6x* + 3) 120x3 1) In 7(6x*+3)…

A: Find the derivative of the function

Q: For the following equation, find x. 1 log x- log, 27+ log 4 - log 6 wwww 3. 2

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Q: (x² + 1)? dy if y Find dx (x² – 1)³ a) without the aid of logarithmic properties b) using…

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Q: Draw the graph of the following logarithmic function, and analyze it completely: f(x) = − log(x − 3)

A: Consider the given function.

Q: Which property distinguishes f (x) = ex from all other exponential functions g(x) = bx?

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Q: Find the domain of y = log(2 – lx). The domain is:

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Q: y = v4x + 3 log2(x² + 2)

A: Given query is to find the derivative of the expression.

Q: Is f(x) 0 in the range of the functionf (x) = log(x)? If so, for what value of x? Verify the result.…

A: Given function, fx=logx To check fx=0 in the range of the given function, for what value of x.

Q: The percent of adult height attained by girls who are X years old can be modeled by the given…

A:

Q: What is the closest value to the instantaneous rate of change of the following function at x 2? f(x)…

A: We have to find closet value to the instantaneousrate of change  at x=2?     fx=3log2x-1+3   So we…

Q: For the following equation, find x. 2 log bx= log9+ log125-log 15 (Type an integer or a simplified…

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Q: Approximate the function at the value of x to four decimal places.

A: Consider the given function gx=logx2-logx4.

Q: For the following exercises, use the logistic growth model f(x) = 150 1+8e-2r 8. Find and interpret…

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Q: On the Richter scale, the magnitude, R, of an earthquake of intensity I is given by R = log (I/I0) ,…

A: Given: R=logII0 for finding intensity of an earthquake in Richter scale, we substitute intensity…

Q: What is the exponential rule that allows you to do the following? et+C=Cet Why were you allowed to…

A: Given.

Q: Find the equation of the vertical asymptote f(x)= log(x+1)

A: The equation of the vertical asymptote f(x)= log(x+1)

Q: 59. Is x 0 in the domain of the function f(x) log(x)= If so, what is the value of the function when…

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Q: Graph the log function using the 6 steps method shown to you in class. Be sure to include and label…

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Q: Solve the equation accurate to three decimal places.

A: Solve the equation accurate to three decimal places.

Q: For the following questions, solve for x. (a) 8e^5x-3-4 = 6 (b) logx (12-x) = 2

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Q: For the following exercises, find f′(x) for each function. 343.  f(x) = log (sec x)

A: Chain rule of differentiation:…

Q: find the deliva tiva dy for the function by using logarithmic

A: Derivative.

Q: For the following exercises, rewrite each equation in logarithmic form. 17. c ^d = k 19. 19^x = y…

A: using log property:- log ab= b log a

Q: log3 (x + 1) = log, (x + 8) x =?

A: The graph is shown of below:

Q: what is the domain of the function Y= logy (9x t 12) - 5?

A: y=log44x+12-5

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: 4. Which of the following functions grow faster than x2 as x→∞? Which grow at the same rate as x²?…

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Q: Consider the functions f(x) = 4*-2and g(x) = 34x. Solve f(x)=g(x). Express your solution in terms of…

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Q: How is the logarithmic function y = log,(x) defined? %3D It is defined as the inverse of the…

A: the give function is  to solve for x, write b to the power both sides

Q: loga (M/N ) = _________ - ____________ .

A: We know Division property of logarithm is, when we divide two values with same base, we subtract the…

Q: 38. f(x) = log1 x 50

A: The given function fx=log15x. Substitute x=1,2,5 in fx=log15x:…

Q: The population of a culture of bacteria is modeled by the logistic equation   P (t) = 14,250 / 1+29e…

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Q: For the following exercises, find the formula for an exponential function that passes through the…

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Q: The percentage of adult height attained by girls who are x years old can be modeled by f(x)=62+35…

A: The percentage of adult height attained by girls who are x years old can be modeled by fx=62+35…

Q: Differentiate the function below f(x) = log2 (x10ex)

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Q: Approximate the function at the value of x to four decimal places. SNIPP

A: Given,

Q: For the following questions, solve for x. (a) 8e5x-3 – 4 = 6 (b) log,(12 – x) = 2 -

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Q: 00 dx 2- So V- log x

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Q: For the following exercises, sketch the graphs of each pair of functions on the same axis. 34. f(x)…

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