Recall that the domain of a function is the set of values x for which the function is defined. Note that the logarithmic function is defined only for positive numbers. This means y is defined only if > 0. Solve this inequality. Therefore the domain of the function is x > Write the domain using interval notation.

Q: log, (64) = x

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Q: = If log, (x+ 1) = then x اختواحد الخيارات 20 3 2.

A: Given log9x+1=12 Apply log rules logbx=yThe anti logarithm is calculated by raising the base b to…

Q: for which value of x is the expression log7(2x-3) undefined

A: The logarithm function log(x) is defined only for x>0. So the  logarithm of a negative number  is…

Q: What is the domain of the function f(x)=log4(16-x^2) using interval notation

A: We can make it easier for you

Q: log (8) = x %3D

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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 the value of x which satsfies the relation  log103+log10(4x+1) = log10(x+1)+1

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Q: Use the product rule for logarithms to find all x-values such that log12(2x + 4) + log12(x + 3) = 2.…

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Q: Give the domain and range of the function using interval notation: g(x) = log4(x+1)

A: Solution: Domain: The domain of a function is the set of input or argument values for which the…

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

A: to find 'a' such that graph of fx=logax contains the point (2,2)

Q: If log3 (x + 2) = 2, the value of 'x' is..... %3D

A: If logam=n then m=an

Q: If f(x) = logax, show that ) = -f(x). f %3D

A: Given, f(x)=loga(x) Substituting,x=1x,in f(x) we get: f(x)=loga(x)⇒f(1x)=loga(1x)⇒f(1x)=loga(x-1)…

Q: Find the domain of the below expression and solve the inequality g(x)=Log5 (1+x/1-x) = 1+x/1-x >0

A: Given:

Q: Find the value of x if log5 (x+ 2) = 2

A: Given log5(x+2)=2(x+2) = 52x+2 = 25x = 25-2x = 23

Q: Write the domain in interval notation. a. f(x) = log:(2x + 4) b. g(x) = In(5 - x) c. h(x) = log(x -…

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Q: Find the domain of the function. f(x) = log -6

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Q: Solve the following inequality for x. Write your answer using interval notation. log, (x - x – 2) <…

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Q: Given the functions ) - logz and )-2-x which of the following is most likely the graph of-Aet?

A:

Q: The domain of g(x) = log2(5 - x) can be found by solving the inequality________ .

A: The given function is gx=log25-x

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: Find the value of x if log; (a + 2) = 2 %3D

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

Q: Which graph represents f (x) = log, æ?

A: I have given an answer in step 2.

Q: Find the domain of: f(x)=log7(x-8)

A: Consider the function

Q: What are the domain and range of f(x)=log x -5

A: f(x) = log(x - 5)   Note : the domain of log(x) is the set of all positive real numbers. And, the…

Q: For Exercise, write the domain in interval notation. n(x) = 4 – log- Vx + 5

A:

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: Solve for a positive value of x. log, (49) = 2 %3D

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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: Using interval notation, the domain of f(x) = logb x is _______ and the range is _____________

A:

Q: Graph the given functions  f(x) =4x    and   g(x) = log4X  on the same graph b)  Explain the…

A: Graph for both functions.

Q: Expand the logarithimic expression.

A: To expand the logarithmic expression: log5x21-5x32x3-x Solution: Properties of logarithmic…

Q: Graph the given functions  f(x) =4^x    and   g(x) = log4X  on the same graph b)  Explain the…

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Q: Solve for x in terms of b . Report your answer using set notation. 글0go(x3) + 극10g( x2 - 2x + 1) = 2…

A: The given equation is 13logbx3+12logbx2-2x+1=2 Solution: the equation is,  13logbx3+12logbx2-2x+1=2…

Q: The floor function, F(x)=[x] returns the greatest integer that is less than or equal to x. In other…

A: Given that,F(x)=[x]  is the greatest integer function.We need to find the value of Flog5777 without…

Q: log2 (5æ) – 2 log2 (2) = 1 -

A: Givenlog2(5x)-2log2(2)=1

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: What is the x-intercept of the graph of y = log, (x +5)? O (1,0) O (-5,0) O (-4,0) O (4,0)

A: The given problem is to find the x intercept of the given graph function Given function y= log3(x+5)

Q: | What is a zero of f(x) log (2x -3)?

A: Put f(x)=0 and solve for x .

Q: If log, 2x + log4(x- 2) = 2 then x is equal to? %3D

A:

Q: Log7 (x+5)+log7 |÷|>

A: Given inequality is   log7(x+5) + log7(2x) &gt; 1  We use some logarithm properties and then find…

Q: Find a so that the graph of f(x)= logaX contains the point (21,2)

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Q: Solve for a positive value of x. log, (25) = 2

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Q: What is the domain of g(x)=log( x− x 2)? Give the answer in interval notation. Provide your…

A: Given:The function is g(x) = log(x−x2).Known fact:The domain of the logarithmic function is the set…

Q: State the domain of f(x)=-log 3(x-2)/3

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Q: Solve for x. (Enter your answers as a comma-separated list.) logs(x + 30) + log8(x) = 2

A: Given,         log8x+30+log8x=2

Q: Write the domain interval in interval notation. f(x)= log2(x2 - 4)

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Q: What is the range of y= log, (x-6)? O all real numbers not equal to 0 all real numbers less than 6…

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Q: Solve the following inequality for x. Write your answer using interval notation. log, (x – x – 2) <…

A: