Use the definition of the logarithmic function to find x. In x = -1 In (1/e) = x %3D

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: Express the given quantity as a single logarithm.  ln ( a+b)  +  ln (a- b) - 2 ln c

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Q: In the given question , use the properties of logarithms to expand the logarithmic expression.   (f)…

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Q: Express the function ƒ(x) = g(x)h(x)in terms of the natural logarithm and natural exponential…

A: Given: f(x) = g(x)h(x) Concept Used: ln(ab) = ln(a) + ln(b)

Q: Evaluate value of the following log9 x log3 x

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Q: Use the properties of logarithms to approximate the indicated logarithms, given that ln 4 1.3863 and…

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Q: Write the following as a sum of logarithms: log(z y=")= log(z)+ log(y)+ log(z) %D

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Q: Graph the logarithmic function g (x)= log, (x+3). %3D

A: For the solution follow the next step.

Q: メリメニ+5 (xtw) 2. 713

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Q: The graph of every logarithmic function f(x) = loga x, wherea >0 and a ≠ 1, passes through three…

A: Points for the logarithmic functions can be found with the help of the arbitrary points. Put such…

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 common logarithms to solve for x in terms of y

A: The function given is , y=ex+e-xex-e-x. Let z=ex. y=z+1zz-1zy=z2+1zz2-1zy=z2+1z2-1

Q: condense to a single logarithm with a leading cofficient of 1  In(3)+In (x) + In (y)

A: Given query is to condense to a singl logarithm with a leading cofficient of 1.

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

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Q: The value of z in the logarithm equation In e+3 _ 8 is О 6.75 0 9 47 O 1.25 O 3.75 O 0.27

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Q: Apply the power property of logarithms. a. In V b. log x

A: Solution: (a) Consider the given that; lnx25 Rewrite the given expression. lnx25 =lnx215 Now,…

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: 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: x log d- log g

A: Given: x log d-log g

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

A: Given:fx=log5x+6

Q: Find the following logarithms to five decimal places. ln x, given that log10  x = -0.7

A: Given, log10 x=-0.7

Q: The value of x in the logarithm equation In e+4 = 10 is %3D O 6.17 O 0.37 O 15.70 O 11.17 O 2.00

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Q: Use the properties of logarithms to approximate the indicated logarithms, given that ln 2 0.6931 and…

A: As per the bartleby guidelines for more than three parts only three has to be solved. Please upload…

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: Express the logarithmic function below, in a different logarithmic form, by using the laws of…

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Q: (9 – x)6/ 5/6 a = In(a) ? v| In(b). V ? Rewrite the given function, y = In Apply the logarithmic…

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Q: Find the Value of x in the Logarithmic Functions : log; (x2 + 16x +1) = 4 %3D

A: We will apply antilog on both sides to solve this equation

Q: The domain of the logarithmic function y = In x (-00,1) Oa. R+ Ob. [1,00) Oc. Od.

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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 given quantity as a single logarithm. - In(x + 2)5 + In(x) – In(x² + 3x + 2)=

A: We have to simplyfing this

Q: Find the exact value of the logarithmic expression In e

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Q: For Exercise, use logb 2 = 0.289, logb 3 - 0.458, and logb 5 z 0.671 to approximate the value of the…

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Q: Calculate the given natural logarithm without using your calculator ln(1)

A: 1 can be written as e^0

Q: Find the domain of the logarithmic function. f(x)=log (x-5/x+1) The domain of f(x) is ?

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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: 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: Use the properties of logarithms to expand the logarithmic expression.              ln z(z − 1)2

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

A: Given logarithmic function is,

Q: Express the ratios in as ratios of natural logarithmsand simplify. loga b/logb a

A: Given: The expression logablogba To simplify: The given logarithmic expression after converting it…