Let f(x) = log5x and g(x) = log₁x. For all x> 1, f(x) > g(x). O True False

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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Q: Let f(x) = Log5 (x), determine f(x). f¹(x):

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Q: Determine the nature of the following function for even and odd

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

A: logx+4+logx-4=log2x

Q: The graphs of f(x) = 9* and g(x) = log9(x) are symmetrical with respect to the %3D %3D Select one: O…

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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: Given that a and b are real and unequal and that logab + logba2 = 3, find a relation between a and b…

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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

Q: Determine whether f <<g or g<< f (or neither) for the functions f (x) = log10 x and g(x)…

A: Convert both lnx and log10x in terms of logx

Q: Sketch the graph of f.

A: The given equation is fx=log2x3.

Q: If log(x + 13) + log(x – 13) = The value of æ is

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Q: Show that the function is continuous. f(x) = log2(x2 + 1)

A: Consider function  fx=log2x2+1   x fx -4 4.087 -3 3.322 -2 2.322 -1 1 0 0 1 1 2…

Q: Suppose the functions f, g, h, r and I are defined as follows: f (x) = log+log x 3 g(x) √(x+3)² h(x)…

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Q: Q4B- Write user define- function program to find 3 1 ((x - 1) 1 ((x-1)) (x - 1) (x + 1) 3(x+1) + - +…

A: Here we write a python code to define the user define function.

Q: Express the function h(x) = 5log(x² + 6) the form fog. If f(x) = 5log(x), find the function g(x)

A: We can find the function g(x) from the given composite function in the below steps.

Q: Determine the nature of the following function for even and odd f(x)=log(x+vx°

A: if f(-x) = f(x) then f is even  if f(-x) = -f(x) then f is odd if if f(-x) is not equal to f(x) and…

Q: If log(x + 3) + log(x – 3) = 1 then The value of a is

A: considering log base 10   using log property log(a)+ log (b)=log(axb) and  log 10 =1