Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value of x increasing positively? What is that real number?   Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value of x approaches 0 from the right? What is that real number?

Q: What is the (VA) Vertical Asymptote(s) of the function f(x) = log2 ^(x-2) If possible, please…

A: Given:

Q: Differentiate the function   f(x) = log 10  ( x 3   + 1)

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Q: Solve for x using sci notation x=log(y^5) ; if (log y) = 1.2 x 10^-4

A: We have to find value of x by using scientific notation.

Q: functions f and g? f(x)=2x

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Q: 9. What is the maximum value of |Log z| |2| 1? on

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Q: If the base  b of the exponential function is a real number between zero and 1  (0 < b < 1 ) , then…

A: Exponential functions have the form f(x) = bx, where b &gt; 0 and b ≠ 1. Just as in any exponential…

Q: The effect on the graph of y = log,z if it is transformed to y = log,(z+3)? may be described as Oa…

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Q: Solve for x: log (x + 3) + log x = 1. Show that the above equation will have an irrational root if…

A: Solution: To find value of x, log2(x+3)+log2(x)=1log2((x+3)(x))=1   (property of logrithm…

Q: Find the equation of the vertical asymptote f(x)=log(x+5)

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Q: snip

A: The exponential function and the logarithmic function is strictly increasing functions for x &gt; 0.…

Q: If log3 (x)=4, log3(y)=-1, and log3(z)=5, what is log3 (xy)? ?

A: Objective of the question find the value of expression with the help of given data.

Q: Determine the maximum and minimum values of the function f(x)= -4 x log2x on the interval [1,4]

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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: A manufacturing company finds that the number of products they can manufacture, X, is related to the…

A: First, we have to calculate the profit from the profit function P, then we can calculate the profit…

Q: log of the nth root of x equals log of x to the 1/n power and also equals to

A: The expression ax is the product of a with itself,  repeatedly x times. The function in the form…

Q: 1 [log, (x- y) - log; (x+ y)]

A: Given that: 12log5(x2-y2)-log5(x+y)

Q: 4. Differentiate the function. f(x) = log3 (x In x)

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Q: Disprove the statement log(x + y) = log x + log y by, a) Letting y equal a positive constant of your…

A: Given  The statement log(x + y) = log x + log y

Q: Match the logarithmic function with its graph. I II y y. 1 + 2 III IV y y 1 1 O| 2 Pl 2 f(x) =…

A: This question is about application of graphs

Q: 2 -3 r- 3 x = %3D (z + 4)- 1 = 24 --- log, 15625 6 X = !!

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Q: Then, use a calculator to obtain a decimal approximation to three decimal places, for the solution.…

A: Given that the equation is log2x-3+log2x-log2x+2=2.

Q: snip

A: The domain of a function is set of values for which the function is defined. For a logarithmic…

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

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Q: 4. Determine the co-ordinates of the point of intersection of the graphs of f(x) = 5(3*) %3D log a…

A: The given curves are  f(x) = 5.3x f(x) = 7.2x

Q: Find the equation of the vertical asymptote f(x) = log(x + 4)

A: Given,                f(x)= log(x+4)

Q: 1+x f(x) = log10 1-x

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Q: Differentiate the function with respect to x f(x) = 2* · log37*²-4

A: If hx and gx are two differentiable function and fx=hxgx Then f'x=gx×ddxhx+hx×ddxgx

Q: Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value…

A: To Discuss: a. Does fx=logarithm x, with base 12 approaches a certain real as xincrease positively?…

Q: 1.Solve by logarithmic differentiation -(x+1)(x+2)(x+3)2 Y=In(- V(x+3)3 (x+4)*

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Q: 7. Solve for x using log properties: log(5x) – log(x² - 2) = 1 |

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Q: Graph the function, not by ploting points, but by starting from the graphs in the figures below. gx)…

A: Given function is gx=log2−x. We have to draw the graph of the function gx=log2−x. The graph of the…

Q: 2. Express as a single logarithm 4 log, x² + 3 log, ) – log, x X 5

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Q: Does the function f(x)- logarithm of x with the base of 4 approach a certain real number as the…

A: Consider the given function as fx=log4x.

Q: (a) Use the definitions of hyperbolic functions in terms of exponentials to prove that 8 cosh'x cosh…

A: a) LHS =  8cosh4x  =  8(cosh2x)2  =  8 * ((1/2)( cosh(2x) + 1))2  =  2 (cosh2(2x) + 2cosh(2x) + 1)…

Q: Write the expression as one logarithm . SNIPP

A: To rewrite expression as single logarithm. Using the properties of logarithm,

Q: How would you find y' if x^y=y^x using logarithmic differentiation and keeping the answer in terms…

A: Given equation:The given equation is xy = yx.

Q: Find the equation of an exponential function of the form f(x) = a · bº that passes through the…

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Q: Determine the maximum and minimum values of the function f(x)=-4 •log 2x on the interval [1,4]

A: Given function is  on interval [1, 4].

Q: What is f(x) of f(x) = log3 (1-2x)²? -32 In(3)-(1-2x)³

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Q: What is the simplified form of 4 * log_3(y) - 6 * log_3(x) + 7 * log_3(z) ?

A: Find the simplified form

Q: function

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Q: 4. Use logarithmic differentiation to find a formula for f'(x): (x+ 1)3/2(x – 4)5/2 (5x + 3)2/3 |…

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Q: Differentiate the function. f(x) = log2(1 – 3x) f'(x) =

A: we have to find the derivative of given f(X).

Q: True or False The graph of f(x) = loga x, where a &gt; 0and a ≠ 1, has an x-intercept equal to 1 and…

A: Given function is, fx=logax, where a&gt;0 and a≠1.   Use the properties of logarithmic function, The…

Q: What is the linear approximation of log base 5 x at x=5

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Q: Solve for x given: log2(x + 7) − log2(2x) = 3

A: The given logarithmic function is log2(x+7)-log2(2x)=3

Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

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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: calculate the first four iterations for the approximate value of the root of the function f(x) =…

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Q: Solve for x (to four decimal places) in each of the following: (0.26) log25) (4x- f) (414)x (1/4)*+3…

A: (f) The given expression is,