Find the domain of f(x). a. f(x) = sqart 42-7x b. f(x) = log3(x - 38)

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

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Q: 2 Find x so that log10 x = log, 10

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Q: Find the exponential function f(x)=ax whose graph goes through the point (2,4). a =

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Q: Find the value of x in the equation 2 log3 x − log3 (x + 2) = 0

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Q: Find the domain of the function h(x) = log3(x + 6)2.

A: Given function: hx=log3x+62

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A: By definition, The logarithmic function y=logax is defined to be equivalent to the exponential…

Q: Find the domain of f(x) = log4(x - 5).

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Q: Solve the equation.

A: Given, log3x-2=log327-log3x-4-5log51 solve the equation log3x-2+log3x-4=log333-1…

Q: (a) If log4x=2 then x= (b) If log3x=4 then x=

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Q: If x is an integer then solve (log2x)2 - log2 x4 -32 = 0

A: Given (log2x)2-log2x4-32=0

Q: What is the solution set for x in the logarithmic equation of log3(x-9) - log3 x=3

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Q: Find the value of what comes log,(x-1)-2 log.(x-1) +loga(x-1)/(x+1)

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Q: If f(x) = log3 x, find f - 1(x).

A: Given f(x)=log3x

Q: If  x is an integer then solve (log2x)2-logx4 - 32 = 0

A: The given equation is (log2x) 2 -logx4 - 32 = 0

Q: Express -log x+5log y as a single logarithm. (A) log -+5y ® log(Vry³) log(V+ y*) (D) log 2

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Q: domain of the logarithmic function f(x)= logax is

A: The domain of the logarithmic function f(x)= logax is given by

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

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Q: 4. Find the domain of the log function. y = In((7 – x)(x + 10)) Use a sign chart.

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Q: f(x)=log3(x+6)+log31 and g(x)=2log3(x). For what x-value will both functions have the same value ?…

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Q: Domain of the y = log, (r-3) logarithmic function is {r|x > 3}

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Q: If H(x) = logb 1/x, show that H(b-1/z)= 1/z

A: H(x)=logb1x, we have to show that Hb-1z=1z

Q: Find the domain of the logarithmic function : f(x) = log (x - 2)/(x + 5)

A: given: f(x)=logx-2x+5 we have to find the domain of the function. as we know that the domain of the…

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: The domain of the logarithmic functionf(x)=logax is _______.

A: We have to find the domain of the logarithmic function: fx=logax

Q: Find the domain of the logarithmic function : f(x) = log(7 - x)

A: Domain of any function is defined as the value of x for which the function is defined - Given…

Q: Find the domain of the function. f(x) = log5(8 - 2x)

A: Given function is fx=log58-2x. To find the domain of the function. Solution: Domain of a function is…

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

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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: 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: a) If \log _2 x=5 then x =

A: Since you have asked multiple questions in single request  so we  will be answering only first…

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: Use the definition of a logarithm to find the exact solution for 4 log (2n) - 7= -11

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Q: Find the domain of the function. f(x) = 3 - 2 log4 (x/2 - 5)

A: Given function is: f(x) = 3 - 2 log4 (x/2 - 5) We have to find the domain of this function.

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

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

Q: Find the domain of the logarithmic function f(x) = ln(x2 - 4x - 12).

A: Given :         f(x)= ln(x2-4x-12).

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

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Q: Express log(x²-x-12) - log(x² - 7x + 12) as a single logarithm. State any restrictions on the…

A: Given : expression  logx2-x-12-logx2-7x-12 Prerequisite : Here we use the formula log a - log b =log…

Q: 1. Write log (x) - 3log(2x-3) + 5log(x-2) - 1/4log(x+5) as a single logarithm.

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Q: Find the domain of the logarithmic function : f(x) = ln(x2 - 4x - 12)

A: Our Aim is to find the domain of the logarithmic function:-f(x)=ln(x2-4x-12) -(i)

Q: Find the largest value of x that satisfies: log; (x²) – log3(x + 3) = 8 Z Calculator

A: Explanation of the answer is as follows

Q: Evaluate the function at the indicated value of x= 3. f(x)=log243* -5 5

A: To find the value of given function at x=3.

Q: Find the domain of the logarithmic function f(x) = log(2 - x).

A: Consider the given logarithmic function fx=log2-x

Q: Given log3(x2-1)=1+log3(x+3), find log4(x-3). -1 -1/2 1/2 3/2

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Q: find the domain of the logarithmic function f(x)=log2(x-1)

A: Given logarithmic function is,

Q: Determine if the function f(x) = {(x2 − x)4/3 , if x < 1…

A: The objective is to check the differenriabiliry at x=1.

Q: /log_4 x=6 then x =

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