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

Q: 5. Solve for x by converting the logarithmic equation log17(x)=2 to exponential form.

A: log17x=2Formula:Logarthimic        to      Exponentiallogb n=a                       ba=n

Q: State the four algebraic properties of the natural logarithm function.

A: Algebraic properties of a natural logarithmic function - (1) ln1 = 0(2) lnab = lna+lnb

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

A: Consider the given function as

Q: given a logarithmic function f(x)=lnx, find the equation for the new function obtained by reflecting…

A: This question can be solved using the concept of transformation of curves.

Q: Find the domain of the logarithmic function. 2) f(x) = log (x2 - 8x + 12)

A:

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: . How is the graph of log x related to the graph of ln x?

A: Here , ln x represents the natural logarithm where its base is e whereas the base of log x is 10 .…

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

A:

Q: domain of the logarithmic function f(x)= logax is

A: The domain of the logarithmic function f(x)= logax is given by

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

A:

Q: Domain of the y = log, (r-3) logarithmic function is {r|x > 3}

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: Use the properties of logarithms to expand the logarithmic expression.          ln xy/z

A:

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

A:

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

A:

Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) (a)…

A:

Q: Solve the logarithmic equation for x. In( x - 1/2) + In 2= 2 In x

A:

Q: Find the domain of the logarithmic function : f(x) = log (x - 2)/(x + 5)

A: given: f(x)=logx-2x+5 we have to find the domain of the function. as we know that the domain of the…

Q: Use the laws of logarithms to expand and simplify the expression. x3 In Vx (1+x)5,

A: To simplify the expression

Q: Construct the graph of the logarithmic function f (x) = log (x-2).

A: Any point on the Cartesian coordinate system is represented as x, y. For a function y=f(x), the…

Q: Use the properties of logarithms to expand the logarithmic expression     ln[(x2 + 1)(x − 1)]

A:

Q: Use the definition of the logarithmic function to find x. log-() = x

A: This question (question 3) is based on the concept of logarithm and its properties. log7 (1/49)=x If…

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: 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: 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: use the definition of the logarithmic function to find X A) in x =3 B) in e^2 = x

A:

Q: First use appropriate properties of logarithms to rewrite f(x), and then find f'(x). f(x) = 2 In…

A:

Q: First use the appropriate properties of logarrithms to rewrite f(x), and then find f'(x). f(x) = 17x…

A: We have to find f'x and rewrite the function fx using properties of logarithmic: fx=17x+ln17x We…

Q: Write the expression as a single logarithm with a coefficient of 1. In x - (9 In y + In z)

A:

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: Find dg Using Logarithmic differentation y =3 2x +1

A:

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

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

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

A:

Q: Use the properties of logarithms to expand the quantity.  ln  x 2   / ( y 3  z 4 )

A: It is given that, lnx2y3z4 Use the properties of logarithms,we have to  expand the quantity.

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

A: Given:

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: Find the domain of the logarithmic function f(x) = log(2 - x).

A: Consider the given logarithmic function fx=log2-x

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

A: Given: log x=3 log e2=x

Q: Expand the logarithimic expression.

A: lnx4+123x+16x-3

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

A: Given logarithmic function is,

Q: Write the expression as a single logarithm with a coefficient of 1. ln x − (8 ln y + ln z)

A: The given expression is ln x − (8 ln y + ln z)   log rule used:…