(2x – 1)(x + 2)³ (1 – 4x)² f(x) = In- %3D

Q: What is the base of the following logarithmic function: h(x) = In(x) 2 T 10

A:

Q: Use the properties of logarithms to simplify the following function before computing f′(x).…

A: Given f(x)=ln(4x+8)4  We know that ln(a)m=m*ln(a)So, the given function can be written as 4*ln(4x+8)

Q: Use the properties of logarithms to simplify the following function before computing f (x). f(x) =…

A: Differentiation of logarithm function

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: For f(z) = 3e7'the value of log(f(z)) is

A: Given,       f(z)=3eπ6i

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

A:

Q: Use the properties of logarithms to simplify the following functions before computing f 1x2.

A: Consider the logarithms function, fx=log28x+1

Q: Use the power rule to expand the logarithmic expression: log(x + 4)2.

A:

Q: Draw the graph of the following logarithmic function, and analyze it completely: f(x) = − log(x − 3)

A: Consider the given function.

Q: Use the properties of logarithms to simplify the following functions before computing f 1x2.

A: To simplify: The function fx=ln3x+14 using logarithmic properties and find f'x. Concept used: Power…

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

A:

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

A:

Q: Find the domain of the logarithmic function.

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

Q: Evaluate the following: log, a Find y in terms of x for In(y+1)=2– 3 In.x

A:

Q: Vx*+12 In (x+16)/x-3

A: Given,                   lnx4+123x+16x-3=?

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

A:

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

A:

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

A: To simplify the expression

Q: Use the properties of logarithms to simplify the following functions before computing f 1x2.

A: Given expression: fx=lnsec4x tan2x

Q: The domain of the logarithmic functionf(x)=logax is _______.

A: We have to find the domain of the logarithmic function: fx=logax

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

A: We have to express the expression

Q: Find the domain of: f(x)=log7(x-8)

A: Consider the function

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 function. f(x) = log5(8 - 2x)

A: Given function is fx=log58-2x. To find the domain of the function. Solution: Domain of a function is…

Q: Expand the following logarithmic expression as much as possible: (x + 3)*(x² – 4) V5 – x - In

A:

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

A:

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: . find f'(x) if f(x) equals the given expression. a. log (x4 + 3x2 + 1) b. log (3x2 + 2)5

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

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

Q: Use the properties of logarithms to simplify the following function before computing f'(x). f(x) =…

A: To use the properties of the logarithms and to find f'(x).

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

A:

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: Expand the logarithimic expression.

A: Let the given logarithmic function be y - y = log2xx2+1y = log2x+log2x2+1…

Q: Find the domain of the function. .8 F(x) = log 5x° %3D

A: Given:- f(x) = log5(x8) To find:- Domain of f(x)

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

A: Given:

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

A: Properties of natural logarithm.

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

A: Given: log x=3 log e2=x

Q: Use the Laws of Logarithms to expand the expression. xy (а) log x + 2 (c) log V + 4) (b) In

A: We know that, the property of logarithm is given as logmn=nlogm                 ⋯⋯1logmn=logm+logn…

Q: When you consider loga x to be a constant multiple of logb x, the constant multiplier is ________.

A: Given: If logax is constant multiple of logbx. To find the constant multiplier. Solution: Let the…

Q: Expand the logarithimic expression.

A: lnx4+123x+16x-3

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

A: