8. Use the properties of logarithms to expand the following into a sum or difference of logarithms. a) log(10x?y) b) In ²y5

Q: (a) log,(5x – 1) + 6 = 9 (b) 163x+1 = (4)*-1 %3D (c) In(x + 6) = In(11) – In(x – 4)

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Q: 6. Show that the principal branch of the log function can be described by the formula log(z) = S 1/w…

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

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Q: 16. Use properties of logarithms to expand log (²₁¹). t14

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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: The Gutenberg–Richter Law states that the number N of earthquakes per year worldwide of Richter…

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Q: 4. If log,v=log,x - (2logby +logbz) , what is the value of v?

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Q: Deduce that log (1 + x) 0. If fix) = log (1 + x), x > 0, uning Maclaurin's theorem, show that for…

A: Given that: fx=log1+x, x>0 To show  log1+x=x−x22+x331+θx3 for 0<θ<1 and log1+x<x−x22+x33…

Q: 10. Let a = In 2 and b= In 3. Use the properties of logarithms to express the value In 72 in terms…

A: Given : a=ln2  and b=ln3

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: (1) Expand the following into as many logarithms as possible, with what's inside each simple as…

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Q: d Find (3"). Type In(x) for the natural logarithmic dx function.

A: we have to find the derivative of 3x

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: Estimate the error in the value log 2.7 obtained from the following dată.

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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: 2 1. Express log,(64 x v64*) + log, (46 V256. 43 logarithm

A: Using log44 = 1

Q: 2. a) Express log, 3 in terms of a logarithm to base 3.

A: We have to express

Q: 1 1 1 The value of log, n log,n SI- log,™ -+- t.

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Q: Use the properties of logarithms to expand log (zy).

A: Properties of Logarithms :i) log(ab) = log(a) + log(b)ii) log(ab) = b log(a)

Q: Evaluate the principal values of Ln (2-53) + Log(3) Log;(2+))

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Q: 1) Condense the following logarithr 4log3x + log,v 2) Expand the following logarithm log.()

A: We have to expand logarithm

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

A: solution:-

Q: 3. Solve the Natural Logarithmic Equation: Inx+ In(x – 2) = In 63. (**

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Q: 2. Expand the following natural logarithms: In(zx'y") b. In- zy а.

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Q: 4. (a) Use logarithm properties to expand In ( (@+5)(x – 6)² (x+ 3)3). (b) Rewrite log3(x) + log3 (y…

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Q: Simply the following 1 1.5 Inx – In(x² – 1) + 2ln(x + 3) 2. 5log2 + log3 – log8 -

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 5) Show the proof that loga M" = r· loga M

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Q: 18) Use the properties of logarithms to rewrite as the logarithm of a single quantity. a. 4 In a +3…

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Q: 2. Express the indicated logarithm in terms of a, b and c with the assumptions that log 2 = a, log 3…

A: To express the indicates logarithms in terms of a,b and c.

Q: . if võ =o, i =1 and Ju = 2 estimate 13 %3D by constructing Logrange polynamial, Itn with the exact…

A:

Q: A. Express in terms of sums and differences of logarithms. 1. log, 6xy®z* 6. log, x³y²z

A: Since you have asked multiple questions in a single request we would be answering only the first…

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: 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: (ii) Form the PDE by elimınatıng arbitfary log z=a log x+ V1-a' log y+ b

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Q: In LRT reject H, when Ais small, so we reject Ho when the value -2 log A is small Select one: O True…

A: Solution Answer. True Because LRT is the likelihood ratio test and given statement says that the…

Q: (8) Expand the following into as many logarithms as possible, with what's inside each logarithm as…

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Q: a- Simply the following 1. Inx – In(x2 – 1) + 2ln(x + 3) 2. 5log2 + log3 - log8

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Q: Express the following sum and/or difference of logarithms as a single logarithm. 2 loga y+logs -…

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Q: Suppose that In 5 = a and In 11 = b. Use properties of logarithms to write the logarithm in terms of…

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Q: 1. Use the algebraic properties of logarithmic +uncrions to approximate the indicated logarithms…

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

A: Follow the steps.

Q: 3. Compute the value of log(2875) from the following values of log(x) with the help of Newton…

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Q: Suppose that In 4 =s and In 3=t. Use properties of logarithms to write the logarithm in terms of s…

A: Please see the next step for answer.

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

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Q: 2. Use the properties of logarithms to condense the expressions as a single logarithm. 4. log a – 3…

A: We have to solve given logarithmic expression.

Q: 3. Solve the natural logarithmic equation. 3 In In x + In In 2 = 4

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

A: Properties:

Q: Express in logarithmic form. 8 64 4. Express the following in expanded form. UV logB W. 3.

A: Dear student, You have posted many questions, in our policy we are providing to you first two…