Find the domain of the logarithmic function f(x) = log5(x + 4).

Q: Find the domain of the logarithmic function :  f(x) = ln(x2 - x - 2)

A: Inside log we can not have negative number. So, x2 - x - 2>0

Q: solve for x by converting the logarithmic equation to exponential form  log36(x)=1/2 x=

A:

Q: Use common logarithms to solve for x in terms of y

A: Consider the given function as

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

A: Given :            loga y5 w2x4 z3  To express loga y5 w2x4 z3 in terms of logarithms of x, y, z…

Q: Find the domain of f(x) = log4(x - 5).

A:

Q: Solve the logarithmic equation for x. log3(2 - x) = 3

A: Our Aim is to solve the logarithmic equation for x:-log3 (2-x)=3 -(i)

Q: How is the logarithmic function y = log a x defined?

A: To define the given logarithmic function.

Q: In(x-글) + In(2) = 2 In(x)

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

Q: Find the value of what comes log,(x-1)-2 log.(x-1) +loga(x-1)/(x+1)

A:

Q: Find the domain of the logarithmic function f(x) = ln(x - 1)2.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: 2. Why is it not necessary to know the value of "a" to determine the value of loga(-1)?

A: Given logarithm, loga(-1)

Q: Solve the Logarithmic equation for x.    log(4x+7)-2=0

A:

Q: Use the properties of natural logarithms to simplify the function. f(x) = In(e-6x) + 9x + In(1) f(x)…

A:

Q: Which is a property of the logarithmic function f (x) = log, x ?

A: Given, fx = logbx   We have to identify the correct property of  fx = logbx

Q: Find the domain of the logarithmic function.

A: We need to find the domain of the given logarithmic function.

Q: What is the Domain of f(X) = log3X?

A: We have to find the domain of the function  f(x) = log3 x

Q: Solve the logarithmic equation for x. 4 - log(3 - x) = 3

A: Our Aim is to solve the logarithmic equation for x.4-log(3-x)=3 -(i)

Q: Find the domain of the logarithmic function : f(x) = log5(x + 6)

A:

Q: Find the domain of f(x) = log4(x + 3).

A: We have to find the domain of logarithmic function: fx=log4x+3 We know that for any logarithmic…

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

A:

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

A: Given:- g(x)=logb(x)  Evaluate g(x) at x=√b

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value f(x) =…

A:

Q: Find the domain of the logarithmic function. f(X) = In (x² = x-6)

A:

Q: Find the domain of the logarithmic function f(x) = log5(x + 6).

A: Given:fx=log5x+6

Q: Find the domain of the function. H(x) = log5 x3

A: The given function is H(x) = log5 x3

Q: Find the domain of the logarithmic function f(x) = log8(x + 5).

A: To find domain of the logarithmic function fx=log8x+5

Q: Solve the logarithmic equation for x. log(3x + 5) = 2

A: To Determine:

Q: Find the domain of the logarithmic function : f(x) = ln(x - 7)2

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Express as a single logarithm with a coefficient of 1: 1/2 logb x - logb(x2 + 1).

A: logmt-logms=logmtsa logmn=logmna

Q: Solve the logarithmic equation for x. logx = -2

A: Given logx = -2

Q: Find the domain of the logarithmic function f(x) = ln(x2 - 4x - 12).

A: Given :         f(x)= ln(x2-4x-12).

Q: Find the domain of the logarithmic function : f(x) = log5(x + 4)

A: Given expression, fx=log5x+4 The domain of fx=log5x+4 is given by gx>0 Then, the domain of f…

Q: The domain of the logarithmic function f(x) = loga x is ________.

A: The domain of any function is set of allowed values of the independent variable for which the…

Q: Use the Laws of Logarithms to expand the quantity.

A: Use the Laws of Logarithms to expand the quantity.

Q: Consider the functions f(x) = 4*-2and g(x) = 34x. Solve f(x)=g(x). Express your solution in terms of…

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Q: Use the defination of the logarithmic function to find x.

A: (a) Given that, ln x=-1 Then we get, x=e-1⇒x=1e Hence the answer.

Q: Express the function f(x)=g(x)^h(x) in terms of natural logerithmic and natural exponential…

A: Given exponential form is :We need to represent t in terms of natural logerithmic and natural…

Q: Express the function f(x) = g(x)^x) in terms of the natural logarithmic and natural exponential…

A:

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

A:

Q: Find the domain of the logarithmic function : f(x) = ln(x2 - 4x - 12)

A: Our Aim is to find the domain of the logarithmic function:-f(x)=ln(x2-4x-12) -(i)

Q: Solve the logarithmic equation for log x + log(x–1) = log(4x)

A: Given, log(x)+log(x-1)=log(4x) By applying the log rule, loga+logb=logab ⇒log x(x-1)=log…

Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(e7x) − 3x − ln(1)

A: Given:

Q: Evaluate the function at the indicated value of x= 3. f(x)=log243* -5 5

A: To find the value of given function at x=3.

Q: Express the function f(x) = g(x)"(×) in terms of the natural logarithmic and natural exponential…

A: Apply natural logarithm to the expressions on both sides of the given function fx=gxhx.…

Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(e8x) − 5x − ln(1)

A: Properties of natural logarithm.

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: find the domain of the logarithmic function f(x)=log2(x-1)

A: Given logarithmic function is,

Q: Solve for x by converting the logarithmic equation to exponential form. log64(x) = X =

A: