The graph of the function f(x)=8+log2(x) can be obtained from the graph of g(x)=log2x by shifting the graph of g(x) downward 8 units; what is the domain and range of f(x)

Q: (h) lim - 7 log: (z) -0- ||

A: Given query is to find the value of indicated limit.

Q: Solve for x using sci notation x=log(y^5) ; if (log y) = 1.2 x 10^-4

A: We have to find value of x by using scientific notation.

Q: 3. If ƒ(x) = log₂(−(x − 6)) and g(x) = √(x + ²) a) Determine the domain of g(x) + f(x) b) Is there a…

A: We want to find domain of g+f

Q: functions f and g? f(x)=2x

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Q: 5. Solve for x using log properties: log3 (x) + log3(2x – 3) = 2 |

A: Consider the given logarithmic equation, log3x+log32x-3=2 use the logarithmic property,…

Q: Graph the functions f(x) = log2 x and g(x) = -log2 (x + 1) in a rectangular coordinate system. If…

A: The given functions are,  f(x)=-log2(x) and g(x)=-log2(x+1)

Q: Find a so that the graph of f(x) = loga x contains the point (2, 2).

A: Given that the graph of f contains the point (2,2). Thus,  f2=2loga2=2

Q: Sketch the graph of f.

A: the logarithm product property states that,…

Q: What are the domain and range of f(x) = -log5(x + 2)?

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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: . Graph Y1 = log(x2 ) and Y2 = 2 log(x) using a graphing utility. Are they equivalent? What might…

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Q: Sketch the graph of the function: log3(x+ 1)

A: For x=-1 ,log3(x+1) goes to - infinity, that is  x=-1 is an asymptote of the curve. Again it passes…

Q: Sketch the graph of f(x) = log3(x + 2).

A: f(x)=log3(x+2)

Q: What is the Domain of f(X) = log3X?

A: We have to find the domain of the function  f(x) = log3 x

Q: Solve the logarithmic equation for x. 4 - log(3 - x) = 3

A: Our Aim is to solve the logarithmic equation for x.4-log(3-x)=3 -(i)

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: ptote of the logar

A: Function: F(x)=log(x-3)+1 Domain of the function is (3,∞). x-intercept means we should put y=0.Here…

Q: Then, use a calculator to obtain a decimal approximation to three decimal places, for the solution.…

A: Given that the equation is log2x-3+log2x-log2x+2=2.

Q: Explain how to use the graph of f(x) = 2x to obtain the graph of g(x) = log2 x.

A: given: the function f(x)=2x the other function is g(x)=log2x. let the given function f(x)=2x as y.…

Q: The graph of g(x) = log3(x + 5) is the graph of f(x) = log3 x shifted_______.

A: Given: The function gx=log3x+5 and the function fx=log3x To compare: The graphs of given function.

Q: a. find x from the equation log2 x=2 b. find x from the eqaution logx 3=2

A: Given, a. find x from the equation log2 x=2 b. find x from the eqaution logx 3=2

Q: Explain how to use the graph of f(x) = 2" to obtain the graph of g(x) = log2 x. %3! %3D

A: Given:- The function f(x)=2x The other function is g(x)=log2 x.

Q: The number of domestic feral rabbits in Nose Hill park can be modelled by the logarithmic function…

A: We can solve this as follows:

Q: Sketch the graphs of f(x) = 2x and g(x) = log2 (−x) on the same coordinate axis, and label at least…

A:

Q: Find the domain of the function. h(x) = log3 [ x/ (x - 1) ]

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Q: 43. (log3 x)2 - 3log3 x = 10 noituloe adi aamizoq

A: According to our terms and conditions I have solved first question for next question repost

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

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Q: Find the domain of the logarithmic function. f(X) = In (x² = x-6)

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Q: 5) log, (x + 8) - log,

A: Solve the given equations  5.log3x2+8-log38=5

Q: Find the domain of the function g(x) = log3 x + 6.

A: g(x) = log3 x + 6 g(x) = log3 (x + 6)         We know the domain of  logaX is real numbers greater…

Q: The graph of g(x) = -log4x is the graph of f(x) = log4x reflected about the______ .

A: Given that graph of f(x)=log4x and g(x)=-log4x.

Q: 2log x-1=log(x-1)

A: Given:  2logx -1=log(x-1)we know that alogb =logba   then 2logx=logx2Then    logx2-1=log(x-1)…

Q: What is the domain of ƒ1x2= logb x2? What is the range of ƒ1x2= logb x2?

A: Given: fx=logbx2 we know that domain of logx is x greater than zero similarly, domain of given…

Q: The graph of g(x) = log5(-x) is the graph of f(x) = log5 x reflected about the________ .

A: The graph of gx=log5-x is the graph of fx=log5x reflected about the________.

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places..³- - x =…

A:

Q: Show that loga (x + √(x2 - 1) + loga (x - √(x2 - 1) = 0.

A: To prove: logax+x2-1+logax-x2-1=0

Q: Sketch the graph of f.

A: Given that, fx=3log3x

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

A: Given function is y=-3+log2x2-x+2

Q: Find the largest value of x that satisfies: log6 (x2)-log6(x+1)=6 x=_________

A:

Q: Find a number x such that log3 (5x + 1) = 2

A: We have to find x

Q: 8) Sketch a graph for g (x) -log2(x - 3) _

A:

Q: What transformations would map the graph of f (x) = log3 (a) onto the graph of g(x) = log3 (81z³)?

A: Given data fx=log3x gx=log381x3

Q: 2. What is the extraneous root of 2 log3(x + 4) - log3(-x) = 2?

A:

Q: Which grows faster In(x) or log (x)

A: ln(x) grows faster than log(x) Look for the graph using Desmos graphing calculator.

Q: Why is  the logarithmic function  not defined for negative values of x, thesoftware can produce only…

A: The definition of logarithmic function is, logbx=y⇒by=x The output value of exponential function by…

Q: What is f(x) of f(x) = log3 (1-2x)²? -32 In(3)-(1-2x)³

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Q: 2. Evaluate [log(-1-1)(-2- j2)] cosh- tan(4 + 3i)

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Q: The number of positive integers satisfying x + log10 (2* + 1) x log105 + logi06 is ..

A: Introduction :

Q: Sketch the graph of: y = log5 x. State the: Domain: Range: Vertical asymptote: 10 x-intercept:

A: The given function, y=log5 x