What is the inverse of the logarithmic function f(x) = loggx? ○ ƒ−¹(x) = x9 Of-1(x) = 9x Of-1(x) = -logo Of-1(x) = log, x DC

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

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Q: log3x=log3(x2-2)

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Q: logs(x) if 3 s x 56 if 0 < x < 3 +1 if -2 s*s0 x-2 Let f(x) = %3D x+1 Find f ().

A: Given fx=log5x2if 3≤x≤6x-2x+1if 0&lt;x&lt;3x2+1if -2≤x≤0

Q: log(x^2+2x-8)=2+log(x+4)

A: Given equation is log(x2+2x-8)=2+log(x+4)

Q: If log(7)x=0.4680​, determine the following.     log(7)x^2

A: Given:       To determine:

Q: shouldnt g^-1(f(x)) equal 3log2(X)-6 ? (the 2 after log is a subscript)

A: We will find the inverse function.

Q: Determine if the following statements are True or False. Assume all values of the variables and…

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Q: For the following equation, find x. log_(b)x=(2)/(3)log_(b)27+(1)/(2)log_(b)4-log_(b)6 x=2 (Type an…

A: The properties of logarithms are a set of rules that allow us to simplify expressions involving…

Q: ) f(x)= 3x 10 4

A: Solution- f(x) =3x4    we can write f(x) =y    To calculate inverse function, replace x and…

Q: Is it possible for a logarithmic function to have a domain of (-∞,4)? Why or why not? Include an…

A: We have to find a log function which domain is (-∞,4)

Q: Let f(x)= 7x log(7x) log(x) ex °log(x) find f¹(x) F

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Q: log (x2) - log(v9) + log(z4) condensed into a single logarithm is expressed as log() Select one: O…

A: Expression is given by logx2 - logy + logz4 To evaluate : Single logarithmic expression.

Q: Rewrite log_(2)(x/y^2) in terms of log(x) and log(y).

A: Use property of logarithmic

Q: Pls help ASAP, and show all work and steps and please circle the final answer.

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Q: Given log_(b)2=x and log_(b)3=y, express in terms of x and y, log_(b)18

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Q: Let y = f(x) be the function. Use the definition of the logarithm to obtain the inverse functions x…

A: Solving

Q: Which is the exponential form of log ;x = 2? (A) x= 3? (B) 2* = 3 (C) x' = 3 (D) 3* = 2

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Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

Q: What is the equation of the inverse for this function?

A: we have to find the inverse of the function f(x)=log2(9x)

Q: logaM/x=logaM1/x Is it true or false?

A: logaM/x=logaM1/x

Q: for a positive value of x . log_(x)(8)=3  Find  X.

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Q: Q1) For the given function, explain the effects y=log_(2)(x+5)-6

A: The function y=log2(x+5)-6  represents a logarithmic function with base 2. Let's break down the…

Q: 8. Determine the domain of f(x) = log;(x² - 2x 15) and write using interval notation.

A: Given, fx =log5x2 -2x-15 We have to find the domain  of f(x)

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…