Find the inverse of f(x)=log(x)/(1-log(x))

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: Is ln xy = ln x ln y a valid property of logarithms, where x > 0 and y > 0? Explain

A: ln(xy)=ln(x)+ln(y) using the addition property of logarithm. Where x>0 and y>0.

Q: 14. For the logarithmic function (x)=log, (x-4), explain why x=0 is not in its domain.

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Q: let f(x)= x^5x where x>0. use logarithmic differentiaiton to find f'(x)

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Q: Use properties of logarithms to expand the logarithmic expressi +2 In (x+2) X VX+2 In %3D (x+2)3

A: using property of logarithmic

Q: Express in terms of logarithms of x, y, z, or w.

A: Express in terms of logarithms of x, y, z, or w.  Given expression is log3 y5

Q: Differentiate the function using logarithmic rules. g(x) = ln[x3√(x3+1)]

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Q: In(x-글) + In(2) = 2 In(x)

A: Please refer the attached image for complete solution. THANK YOU.

Q: Differentiate the following functions: 1. y = tan(log25x) + x. log3(sec x) 2. logyx = logxy %3D

A: We havey=tanlog2 5x +x.log3 (sec x)Let  u=tanlog2 5x     and    v=x.log3 (sec x)Now y=u+vdiff.…

Q: Find and equation for inverse function: f(x) = log(x − 11) + 8

A: Given the function,

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

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

Q: Express log (x + 1)³ – 2log (x + 1) + 3 log (x – 1)²– log (x³ – 1) as a single logarithm

A: Logarithmic equation: A logarithmic equation is an equation involving the logarithm of an expression…

Q: Express sinh-1 x in terms of logarithms.

A: Let  y=sinh-1x⇒x=sinhy

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

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Q: Find a formula for the inverse of f(x) = -1+ log2 x.

A: Given function is : fx=-1+log2x To find the formula of the inverse.

Q: Express as a single logarithm. (a) į In x- 2 In(x' + 1) (b) In(x – 3) + In(x + 3) – 2 In(x² – 9)

A: "Since you have posted multiple questions, we will answer the first question.  If you want the…

Q: Differentiate the function. f(x) = log13(xe*) %3D

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Q: Use logarithmic properties to write in simpler form. In xy In xy =

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Q: Express log x Vy/z in terms of logarithms of x, y, and z.

A: Express log x4y2/z3 in terms of logarithms of x, y and z.

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

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Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x10°.…

A: Given,          The function is fx=x10x.

Q: Express in terms of logarithms of x, y, z, or w.

A: We have to express in terms of logarithms: log4yx We know the property of logarithm,…

Q: Differentiate log sin x by first principles.

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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: What is the inverse of the function f(x) = log5(-x – 3) ?

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Q: dx Evaluate log - 1+ax 1-ах

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Q: Express in terms of logarithms of x, y, z, or w.

A: lnx y4z53 =lnx +ln y4z53 =lnx +ln y4z513  ln y4z513 =13ln y4z5 =13ln y4-ln z5 =134 ln y-5 ln z =4 ln…

Q: In x

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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: Differentiate f (x) = loge (x26")

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

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

Q: How is the logarithmic function (x) = log2(x) related to the exponential function g(x) = 2×? The…

A: Given, fx = log2x gx = 2x

Q: How is loga x defined?

A: The logarithmic function y=logax is defined to be equivalent to the exponential equation x=ay. Here,…

Q: Express in terms of logarithms of x, y, z, or w.

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Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x8*.…

A: To find the exact x- coordinate.

Q: How is the logarithmic function y = log,(x) defined? %3D It is defined as the inverse of the…

A: the give function is  to solve for x, write b to the power both sides

Q: Which grows faster In(x) or log (x)

A: ln(x) grows faster than log(x) Look for the graph using Desmos graphing calculator.

Q: Differentiate the following logarithmic functions and show that y=ln(x+5)2≠[ln(x+5)]2

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Q: Why is  the logarithmic function  not defined for negative values of x, thesoftware can produce only…

A: The definition of logarithmic function is, logbx=y⇒by=x The output value of exponential function by…

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: Use the power rule to expand the logarithmic expression: ln √x

A: Given: lnx

Q: Use the power rule to expand the logarithmic expression: ln 3√x

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Q: function

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Q: Find Log (x In x) Log (x Log x ) dx if

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Q: Differentiate y = - using Logarithmic differentitation. A x2x' +1

A: Given;  y=ecosx^2/[pi x sqrt(2x3+1)].

Q: Solve the logarithmic equation for x. In x = 10

A: The logarithmic equation is given as In x = 10 The objective is to find the value of 'x'.

Q: Use logarithmic differentiaion to evaluate f`(x) f(x) = (5x)^(ln 5x)

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