For Exercise, write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as possible. 16 In(x + 2) + In x – In x²]

Q: Use the quotient rule to expand the logarithmic expression: ln (e5/11).

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Q: Expand the following expression using the properties of the logarithms. Assume x and y are positive.…

A: Consider x,y>0 . Properties of logarithm:  Product rule : ln xy=ln x+ln y Quotient rule :…

Q: Write as a single term that does not contain a logarithm:

A: eln 8 x5- ln 2 x2

Q: Express the ratios in as ratios of natural logarithmsand simplify. logx a/logx2 a

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Q: Use the Laws of Logarithms to expand the expression. log, (xy):0

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

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Q: Write the expression as a logarithm of a single quantity.

A: To write: The expression gx=2ln x-ln 4 as a logarithm of single quantity. Given: The expression…

Q: For Exercise, write the logarithm as a sum or difference of logarithms. Simplify each term as much…

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Q: Write the logarithm in expanded form. ху5 log8 z10

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

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Q: Write the expression as a logarithm of a single quantity. 1 In(x + 2) – 2 In(1 + Vx) 2 In(3) +

A: We have to write the given expression as a logarithm of a single quantity   The given expression…

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: ession 1/2log x

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

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Q: In(4t*) – In 2 2.

A: This problem can be solved using properties of natural logarithm

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

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

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

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Q: Use the properties of logarithms to write the expressions in as a single term

A: We have to simplify the given expressions 3lnt2-13-lnt+1 using properties of logarithm. Properties…

Q: Use the properties of logarithms to rewrite the expression as the logarithm of a single quantity.…

A: Log(m)+ log(n)=log(mn) Log(m)-log(n)=log(m/n)

Q: Use the Laws of Logarithms to expand the expression. log z2

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

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Q: Condense the expression to the logarithm of a single quantity. (Assume all variables are positive.)…

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

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

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

A: Given:fx=log5x+6

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

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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: Write the expression as a logarithm of a single quantity.

A: Given: Let y=2ln x-lnx+1-lnx-1 To Find: To write the given expression as a logarithm of a single…

Q: Write the expression as a single logarithm. 1 -3 log x - log y + 5 log z 2

A: Recall the following rules:

Q: Use the properties of logarithms to rewrite the expression as the logarithm of a single quantity.…

A: Properties of logarithm: ln(A)+ln(B) = ln(AB) ln(A)-ln(B) = ln(A/B) n[ln(A)] = ln(An)

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

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: Expand the logarithimic expression.

A: Given: y=lnx2-1x2+1 We know that lnmn=nlnm…

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

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: Use the quotient rule to expand the logarithmic expression: ln (e3/7)

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Q: Write the expression as a logarithm of a single quantity. [In(x2 – 1) – In(x + 1) + In(x – 1)]

A: The solution of the second problem is given in the next step.

Q: Use the power rule to expand the logarithmic expression: ln √x

A: Given: lnx

Q: Use the properties of logarithms to write the expressions in as a single term. ln (8x + 4) - 2 ln c

A: Logarithm: We know  ln m- ln n=ln mnln mn=n ln m

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: Use the Laws of Logarithms to combine the expression.

A: Given:            3 ln 2+2 ln x-12 lnx+4 Apply log rule: a logcb= logcba          3 ln 2=ln 232 ln…

Q: For what values of x is the equation  logb x8 = 8 logb x  true?

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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 rewrite the expression as the logarithm of a single quantity.…

A: we have to write in single term of given expression

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

A: 6log2a-4log2b+23log2c

Q: Use the Laws of Logarithms to expand the expression. ln (r/2s)

A: Given: To Find: To use the Laws of Logarithms to expand the expression.