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) mean? O log 100=2 O log 2=100 O 100^10=2 O 100^2=100

Q: What is the (VA) Vertical Asymptote(s) of the function f(x) = log2 ^(x-2) If possible, please…

A: Given:

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: 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 can be modeled by fx=62+35logx-4, where x be the age of girls

Q: The logarithmic expressi on In can be rewritten as (1) 3ln y- 2 In y- 6 (3) 2 1-6 In y (2) 2 (4) Vin…

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Q: Suppose $7000 is invested at 6% interest compounded continuously. How long will it take for the…

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Q: 1. logx = 2 %3D 2.ln(x + 1) = 5

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Q: 2. The function f(x)= log₁0x has the point (10, 1) on its graph. Find the coordinates of the image…

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Q: 4.y=log10 (x4 + 3x² + 1) 5.y = log5 √x² +1 1-x² 6.y-log10 |2–5x3

A: Given 4. y=log10x4+3x2+1 5. y=log5x2+1 6. y=log101-x22-5x3         Derivative of the log functions…

Q: A manufacturing company finds that the number of products they can manufacture, X, is related to the…

A: First, we have to calculate the profit from the profit function P, then we can calculate the profit…

Q: Assume that your utility has a natural log function U(W)=ln(W), which is a concave function. Your…

A: Answer:----.               Date:----11/10/2021

Q: 17. log (x² + 3) - log(x + 6)

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Q: Find an approximate equation y = abx of the exponential curve that contains the given pair of…

A: Exponential equation

Q: Without using your calculator (i.e. show your working), find the value of x: (a) log, 16 = x (b)…

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Q: Suppose $10000 is invested at 8% interest compounded continuously. How long will it take for the…

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Q: Match the logarithmic function with its graph. I II y y. 1 + 2 III IV y y 1 1 O| 2 Pl 2 f(x) =…

A: This question is about application of graphs

Q: Differentiate implicitly to find y' log3 (x). tan cy+ 1) = y2 %3D

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Q: How is the graph of y =log(x) transform to produce the graph of y=log(2x)+3

A: Given graph of y = log(x), transform it to get the graph for y = log(2x) + 3.Let us first discuss…

Q: b- find x for following 1. logx = V2 2.ln(x + 1) = 5

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Q: mark

A: We will find three points.

Q: 2. Solve for x. log,24 – log,2 = logax

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Q: write the logarithmic equations in exponential form.

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

Q: Find all x- and y-intercepts of graph of y = −3+log2 (x2-x+2)

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Q: (b) 5" (2 – cot 5")(1 – csc 5“) dx SC 11 – 2 log x (c) / dx JIV6 log r – logʻ 1 x/6 log x -

A: You have asked Only part b and c

Q: Find the function of the form y = loga x whose graph is given.

A: A logarithm function of the form logax has the property that loga1=0. This is because a0=1. For this…

Q: 4. Show that id 5D accuracy is required to calculate the value of log(1+x) at x=0.1,0.5 by using the…

A: Given equation is log1+x=x-12x2+13x3+.....+-1n+1nxn+Rn+! So, Rn+1=-1n+2n+1xn+1 So, maximum relative…

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: Find x rounded to three decimal places. (1)log(3æ +2) = log(2a + 5) (2)log a – log 5 = log 7 2…

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Q: 5. Sketch a graph of the function f(x) = 3 log(2x – 2) +4. Identify the key features. a) domain and…

A: The given function is: fx=3log2x-2+4 The logarithm is defined only for positive real number.…

Q: 1. log(x) +log(x – 1) = log(3x +12) %3D

A: log(a) + log(b)= log(a.b). And, if log(a)= log(b) then a=b.

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

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

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Q: 3. y = Arccos ( logx);y' = * O -1/x In(10)*sqrt ( 1 - (logx)^2) O 1/ x In(10)*sqrt (1 - (logx)^2) O…

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Q: 4 log(x) log(x2 + 1) + 3 log(x – 1) 5

A: a) Given data:     The given expression is: 1/3 log(x+2)3+1/2[ log(x4)- log(x2-x-6)2].   The given…

Q: Differentiate.

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Q: After examining the graphs of several logarithmic functions, you should see that there are…

A: Solution

Q: 4) Find x: logx = 0 !x:1

A: Log a with base c=b......(logarithm form) a=c^b.....(exponential form)

Q: function

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Q: Select the correct graph for the given function y = 5+log(x+2) > 10 6 ++ 2 -10 -8 -6 -4 -2, 4 6 8 10…

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Q: log(5x) + log(x – 1) = 2

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Q: 10 logat 1) y = -

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Just as exponential functions are distinguished by their rapid rate of increase, the logarithm…

A: Consider the graph:

Q: 4 In2 log2 x 1-

A: At first we will change base of log2x to natural log by using base change formula. Then use…

Q: You are given that the natural log of 3 is approximately 1.10 (i.e., ln 3 = 1.1). Suppose an…

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Q: Find the equations of the tangent and normal lines to the graph of the natural logarithm function at…

A: Slope of the tangent line is the derivative of the given function at the given point. Now…

Q: Match the logarithmic function with its graph. I II y 1 + III IV 1 ++ (a) f(x) = -log2(x)…

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Q: Differentiate. y= log 7x dx log 7x=

A: y=log7xTo differentiate.

Q: 3. 3y +1 = y – 1 4. logx = log 40 – log (x – 3)

A: The objective is to solve the above equations.

Q: If log1,5 + log10 (5x + 1) = log10 (x+5)+1, then x is equal to :

A: Given data is : log105+log105x+1=log10x+5+1 To find the value of x . Use the property of logarithm :…