Is it possible for a logarithmic function to have a domain of (-∞,4)? Why or why not? Include an example that would help justify you argument.

Q: The Inverse Properties of logarithms state that logaax = x and ________.

A: The logarithmic function is a function of one variable associated with a specified base, such that…

Q: Show that loga 12x + 2x - 12 + loga 12x - 2x - 12 = 0.

A: given :                      loga (12x+2x-12) + loga(12x-2x-12) = 0 The product rule for logarithms…

Q: Why do we define logarithmic functions, and how are they defined?

A: To explain about logarithmic functions

Q: The graph of the logarithmic function y = log, x can be described as

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Q: Sketch the graphs of the natural logarithm functionand the natural exponential function with a…

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Q: Describe the product rule for logarithms and give an example.

A: The product rule for logarithms is:   loga(bc)=logab+logac So the product inside a logarithm becomes…

Q: What is the value of log3(-9)

A: Given, The expression   log3(-9) We have to find the value of expression

Q: State the four algebraic properties of the natural logarithm function.

A: Algebraic properties of a natural logarithmic function - (1) ln1 = 0(2) lnab = lna+lnb

Q: Use properties of logarithms to expand the logarithmic expressi +2 In (x+2) X VX+2 In %3D (x+2)3

A: using property of logarithmic

Q: A logarithmic model has the form ________ or ________.

A: A logarithmic model has the form ________ or ________.

Q: Explain how to find the domain of a logarithmic function?

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Q: HOW ALL WORK pand the logarithmic expression using the properties of logarithms: In xy

A: Topic :- algebra

Q: Determine the domain of a logarithmic function

A: Given:         The logarithim function is given by,                                      y=logb(x)

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

A: The given logarthim expression,  ln xyz3

Q: (b) log(- yz-4

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Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

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Q: Find the exact value of each expression without using a calculator by using properties of…

A: Required properties of logarithm: logam-logan=logamn logaab=b logab=logbloga

Q: what is a logarithm, what can it be used for and please provide an example of it being used

A: the logarithm is the inverse function to exponentiation. That means the logarithm of a given number…

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

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

Q: The common logarithmic function has base ________.

A: The common logarithmic function has base ________.

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A: We need to find log value.

Q: Determine whether the equation log6[4(x + 1)] = log6 4 + log6(x + 1) is true or false. Where…

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Q: To find a logarithm of a number, two case must be considered. Critically outline these cases in the…

A: Given problem is : To find a logarithm of a number, two case must be considered.Critically outline…

Q: Determine whether the equation (log2 x)4 = 4 log2 x is true or false. Where possible, show work to…

A: Given equation log2x4=4log2x. Given statement is false because the identity used is not correct.…

Q: Define the logarithm function with bae?

A: According to the question, we have to define the logarithm function with base e. As a logarithm is…

Q: =xpress the number sinh in terms of natural logarithms- 84 -

A: Given: sinh-1-1384

Q: Determine whether the equation is true or false: log(x + 2)/log(x - 1) = log(x + 2) - log(x - 1).…

A: we have to determine whether the given statement is true or false. log(x + 2)/log(x - 1) = log(x +…

Q: The logarithm of a quotient of two numbers is the same as the of the logarithms of these numbers. So…

A: The logarithm of a quotient of two numbers is the same as the Difference of the logarithms of these…

Q: State whether the following statement is true or false. Because the domain of ​f(x)=logax is the…

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Q: Use the definition of the logarithmic function to find x. log-() = x

A: This question (question 3) is based on the concept of logarithm and its properties. log7 (1/49)=x If…

Q: Fill in each blank so that the resulting statement is true.

A: we know that logamn=logam-logan so, we can say that the quotient rule for logarithms states that…

Q: Explain why. A HOW IS the graph of flt) = logyt related to th graph of glt) - 4*?

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Q: Give 2-3 examples of Trigonometric and Natural Logarithms Function

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Q: Determine whether the equation, log(x + 9) - log(x + 1) = log(x + 9) / log(x + 1), is true or false.…

A: Given that: The equation is log ( x + 9 ) - log ( x + 1 ) = log ( x+ 9)log ( x+ 1) . Statement :…

Q: Find a so that the graph of f(x) = logax contains the point ( 2 , -4)

A: f(x) = logax   Point ( 2 , -4) = (x, f(x)) a = ?   a is positive value.

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

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

Q: The domain of the natural logarithmic function is the set of ________ ________ ________.

A: Given:The domain of the natural logarithmic function is the set of_______

Q: Determine whether the equation log4(2x3) = 3 log4(2x) is true or false. Where possible, show work to…

A: Given equation - log42x3 = 3log42xTo identify whether the equation holds true or not, let's solve…

Q: Determine whether the equation is true or false: log6(x - 1)/(x2 + 4) = log6(x - 1) - log6(x2 + 4).…

A: Consider the given: log6x−1x2+4=log6x−1−log6x2+4 Solve Right Hand Side: log6x−1−log6x2+4

Q: What value of x makes the equation log, (2x + 1) + log,(x - 3) = 2 true? %3D

A: we need to find the value of x that satisfies the given equation

Q: Use the Laws of Logarithms to combine the expression.

A:

Q: Determine whether the equation is true or false: log6[4(x + 1)] = log6 4 + log6(x + 1). Where…

A: Given: log64x+1=log64+log6x+1 To Determine: Whether the given statement is True or False. Concept:…

Q: Group members should create a graph for the function that models the percentage of adult height…

A: Determine the value of the function f(x)=29+48.8 log(x+1) for x=5,6,7,…,15. x f(x) 5 66.973 6…

Q: y= b² and y- logo x COLb LI)

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Q: Find the exact value of each logarithm without using a calculator. Show and explain your work. 7.…

A: Given the logrithmic expressions

Q: Use common logarithms to solve for x in terms of y

A: Given equation is: y=10x-10-x10x+10-x We have to solve for x in terms of y using common logarithm.

Q: 2. Can log:(-4) be solved? If yes,

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Q: The graph of the natural logarithmic function has a at Its domain is Its range is

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Q: Condense the logarithmic expressions on the image attached.

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Use the Laws of Logarithms to combine the expression. 5 In(2) + 2 In(x) -- In(x + 7) 2

A: Using laws of logarithm to simplify given expression.