Use the properties of logarithms to simplify the following function before computing f (x). f(x) = In (6x + 5) ... f(x)=

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

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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: For Exercise, write the logarithmic expression as a single logarithm with coefficient 1, and…

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

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

A: Logarithmic functions exponential functions are inversely related to each other. For example, we…

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)…

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

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

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

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

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

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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: Express the ratios in as ratios of natural logarithmsand simplify. log2 x/log3 x

A: Given: log2xlog3x we know that logmn=lognlogm

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

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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: In the given question , use the properties of logarithms to expand the logarithmic expression.   ln…

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

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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: Use the properties of natural logarithms to simplify the function. f(x) = = In[ - + In(8) f(x) : %3D

A: By simple using dividation property of logarithm we can solve it.

Q: The domain of log, (x) is

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

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

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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: Let f(x) = logb(3x^2 − 2). For what value of b is f'(1) = 3?

A: Explanation of the solution is given below...

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 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: 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…

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Q: Expand the logarithimic expression.

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

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

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

Q: Use the properties of logarithms to express the following as sum and difference. In

A: The given expression is

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

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Q: For Exercise, simplify the expression without using a calculator. logy51

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