Given the functions f(x) = log₂ (2x) and g(x) = 2x - 3, which of the following statements is true? Both f(x) and g(x) decrease on the interval of (-∞, 1). Both f(x) and g(x) have the same range of (-∞, 0]. Both f(x) and g(x) have the same x-intercept of (0, 0). Both f(x) and g(x) increase on the interval of (0, ∞).

Q: For any real number b > 1, and any real numbers x True False log, (x - y) = > 0 and y> 0, it must be…

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A: The given identity,logx+6+logx+5=logx2+11x+30

Q: For all values of x > 4, log (x + 4) + log (æ – 4) = log (2x) True False

A: logx+4+logx-4=log2x

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A: All the parts are solved properly with detailed explanation.Hope you got your answer. If any query…

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Q: For each statement, indicate if it is True or False. Assume x and y represent positive values. v…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: What is the domain of the function g(z) = 3 log, (x – 1) + 4? Enter your answer in the box. All real…

A: Solution-

Q: Evaluate f(x) = log, (x) for f(4). f(4) =

A: NOTE: Refresh your page if you can't see any equations. . take x=4

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A: Given

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Q: Suppose f(x) = log(Va- 5) and g(x domain of (f – g)(x). T-25 %3D State the x2-30x ||

A: In the given question, the concept of domain is applied. Domain The set of a function's available…

Q: Suppose a > 0 and a 1. For the following statements, choose all that are true. loga (M - N) = loga M…

A: Here given a>0 and,For the given statement we have to find as per the properties of logarithm…

Q: 1.) 102913 (3x-1) 21 2.) log₁₁ (3x-24) = log₁ (-5x-8) x2 3.) log ≤ x² + log ² x~2 ≤0

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Q: Which of the following graphs represents the function below? (log (x + 3), x4

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Q: Which of the following functions are 0(x²)? (Choose all that apply)

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Q: Which of the following statements is correct? The graph of y = logs r is identical to the graph of y…

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Q: The following functions are displayed in the graph. f (x) = log4 (-x + 2) g(x) = – log4 (x + 2) h(x)…

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Q: Solve the following equation log(x)−log(2)=log(x)+8−log(x+2) (The answer I was given is X=4)

A: We need to solve the given equation for the value of x.

Q: Solve for x in each of the following. Make sure to check for extraneous solutions! a) log,(x - 4) =…

A: Given a log4x-4= log43x-1b log32+ log3x-5=4c log6x2-6= log6x

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Q: 4. State the restrictions and solve: log2 (x2 + 6) = 1+ log2(2x + 1)

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