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## Related Calculus Q&A

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Q: 4) Use the Laws of Logarithms to expand the expression as much as possible. Vx +5 In (2x²/y/

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Q: 9) Write as a sum or difference of logarithms, express powers as factors: In 2 x(x² + 1)² V3x=T

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Q: 15) Use the properties of logarithms to rewrite each 2 a. In c. In 5y b. In Vr+2 d. In ¤(x +1)´

A: Explanation and solutions is given below....

Q: 11. Write as a single logarithm: 1 log2 X +3 log2 Y - 3 ·log2 Z

A: To write: The expression 13log2X+3log2Y-52log2Z in single logarithm. Formula used: Logarithmic rule:…

Q: how do i condense this expression to a single logarithm? step by step please

A: The given logarithmic expression is

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

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Q: Express as a single logarithm. (a) į In x- 2 In(x' + 1) (b) In(x – 3) + In(x + 3) – 2 In(x² – 9)

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: 6. Condense the logarithmic expression 2 lnx- In(x* +1).

A: Click to see the answer

Q: [12] Write as a single logarithm and simplify, if possible 3lnx+ 2 In y - (In5x + In 3y) Work:

A: Logarithmic function have following properties, lnx+lny=lnxyalnx=lnxalnx-lny=lnxy

Q: 8. Use the properties of logarithms to expand the following into a sum or difference of logarithms.…

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Q: 12.) Use the laws of logarithms to combine: 2 log x + 1 log(x² + 1)

A: We have to use the laws of logarithms for the given equation.…

Q: 7) use the properties of logarithms to: a, expand the expression log(x3z y2)

A: Consider the given expression log(x3z y2)

Q: Write the following expression as a single logarithm with coefficient 1: In (2z") – In(3z°) +…

A: Given- ln2x9-ln3x6+ln8x7 To Write- The above expression as a single logarithm with coefficient 1.…

Q: 4. Use the properties of logarithms to expand the expression as a sum, differences, and/or cons…

A: The given expression is logbx5b6y7z164 We expand the expression as sum , difference of logarithm…

Q: 2. Write as a single logarithm with coefficient 1. Simplify as much as possible. Assume the…

A: Click to see the answer

Q: 13. Combine the following into a single logarithm Inz- 3 In (z + 4) + In (y)) 112

A: Follow the steps.

Q: 8. Use the properties of logarithms to expand the expression. (Assume all variables are positive.)…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: 11. Condense the expression log, (x² – 3x+2) . +2log(x+1).

A: Use base switch rule.

Q: Express the quantity as a single logarithm. In 3 + 1/3 In 8

A: Given- ln3+13ln8 To express- The above expression as a single logarithm. Formula used- lnam=mlna and…

Q: If log2(7x+6)=1, then x=

A: Click to see the answer

Q: 1. Use the definition of natural logarithm to rewrite Inx= 4.6052 in exponential form, and evaluate…

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Q: 1. Use the definition of natural logarithm to rewrite Inx= 4.6052 in exponential form, and evaluate…

A: Given, The equation is lnx=4.6052 .We know that, The equation lnx=b can be…

Q: 6. A. Apply the properties of logarithms to expand the following expressions and simplify as much as…

A: Apply logab= loga + logb loga/b=loga-logb

Q: Express the quantity as a single logarithm. In 5 + 5 In 3

A: Click to see the answer

Q: a and In 3 = b. Use properties of logarith 31. In 1.5 %3D In

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: Suppose that In 2=a andIn3=b. Use properties of logarithms to write each logarithm in terms of a and…

A: Given: ln2=aln3=b

Q: Suppose that In 2=a andIn3=b. Use properties of logarithms to write each logarithm in terms of a and…

A: Given : In 2=a andIn3=b. we have to use the properties of logarithm to write the given problem in…

Q: Suppose that In 2=a andIn3=b. Use properties of logarithms to write each logarithm in terms of a and…

A: logarithm In 8 Suppose that In 2=a and In 3=b write logarithm in terms of a and b by using the…

Q: 4. Expand into sums and/or differences of logarithms: (a) log, y

A: To expand into sums and /or differences of the given logarithm.logx xyz

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In x – In(x2 + 3x + 2)²|

A: The exponent 5 becomes the coefficient

Q: 2. Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much…

A: Using logarithmic identities we can solve for the given statements

Q: 44. Express as a single logarithm and simplify: In(x10)-In(y20)

A: Click to see the answer

Q: 2. The expression log(3 + x) is undefined for what values of x?

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Q: Write the expression as a logarithm of a single ex 1 4 In x- In y 4 Iny-D] 4 In x- %3D 4

A: Using power rule and quotient rule of logarithm,

Q: If m = log10 n, what other relationship exists between m, 10, and n?

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Q: if m=log10 n, what other relationship exists between m, 10, and n?

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Q: 1. Use the properties of the natural logarithms to simplify the following expressions: b) In(3x² –…

A: ln3x2-9x+ln13x

Q: 4 In x + In(x - 25) is the base e logarithm of

A: solution:-

Q: Express the quantity as a single logarithm. In 2 +In 27

A: Given,

Q: Write as the natural log of a single expression:(a) 2 ln 5 + 3 ln 4 (b) 5 ln(x1/2) + ln(9x)

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Q: 6. Expand the expression 2x+3 log (x+4)°(x- 3)*

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Q: Express in terms of sums and differences of logarithms. 8 In 3xy 8 In 3 3x°y

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Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: Given,ln2=a,ln3=b ln(1.5) On simplifying further we get: ln(1.5)=ln(32)=ln3-ln2…

Q: suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of…

A: Given, ln 2 = a and ln 3 = b

Q: State the restriction(s) on the variable x in log(2x-5) – log (4 - x)

A: Click to see the answer

Q: Express the following logarithms in terms of ln 2 and ln 3. ln √13.5

A: Express ln13.5 in terms of ln2 and ln3.

Q: step by step please

A: First of all, using the logarithmic quotient rule.

Q: Condense the expression to the logarithm of a single quantity. 2 In(8) - 4 In(z - 6)

A: Click to see the answer

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: We have been given that ln 2 = a and ln 3 = b.