Express as sums or differences of logarithms. log yz *(Show your usage of the log properties.)

Q: snipped

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

A: Given,

Q: Condense to a single logarithm with a leading coefficient of 1. logb(45) − logb(5)

A: For same base and for subtraction of logs, the numbers inside log divides.In this problem a=45 and…

Q: Express the ratios in as ratios of natural logarithmsand simplify. log2 x/log8 x

A: Given expression is By using base change formula, we have Therefore,

Q: Use the Laws of Logarithms to expand the expression. log (VxV¥ xV y°Vz5

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

A: eln 8 x5- ln 2 x2

Q: Use the change of base rule to find the logarithm to four decimal places. log8 5

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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: use the properties of logarithms to expand log(z^5x)   log(z^5x)=

A: Answer: Solving the given integral by properties of logarithm as follows:

Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 8 In(c)

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

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Q: Use the properties of logarithms to expand the quantity:  log2(x10y/z5)

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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: condense the following expression into a single logartithm whose base is 4.  3log4X-log2Y+2

A: It is a logarithmic problem

Q: Use the Laws of Logarithms to expand the expression. log2 (xy)10

A: Our Aim is to expand the expression given below:-log2 (xy)10 -(i)

Q: following

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Q: Which of these are equivalent to log 1? yz?

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Q: log V48

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Q: Express given logarithm in terms of a and b: If log 2 =a, log 7=b, then log 56

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Q: Express as a single logarithm. 2 log 9- log br

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Use the Lavs of Logarithms to expand the expression. log;(xV)

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Q: Expand the logarithmic expression log2 (). 5y

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Q: Find the largest value of æ that satisfies: log, (a) – log6(x + 2) = 2

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Q: Use the change-of-base formula to find the logarithm to four decima log1/8 9

A: The given logarithm is log1/89.

Q: 7 In Ve

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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: Express as a single logarithm and, if possible, simplify. 3 1 ww 2 In 4x In 2y 30 5

A: Given: The logarithm expression 32ln 4x6-15ln 2y30 To find: Simplify the given expression as single…

Q: 2x-1 = 3x

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Q: express as difference of logarithms log r/s

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Q: Expand the logarithm and simplify as much as possible. 3y4 log, () =

A: We have to solve given expression.

Q: Express log x log y as a single logarithm

A: Now using the property of logarithm

Q: Calculate log3 (V27) without using a calculator. Enter your answer as a fraction.

A: The given expression is log3277. Simplify the expression as follows.

Q: Find the largest value of r that satisfies: log, (a) – log, (a+ 3) = 5 You may enter the exact value…

A: Solving the problem by obtaining the value of x.

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: Use the Laws of Logarithms to expand the expression.

A: logax2yz3

Q: Evaluate logarithm

A: we will use following identities to answer the given question .  1a=a-1an=a1namn=amnlogaa = 1

Q: 3. Write as a single logarithm. 4 logx- log Vx + logVx?

A: To write in single logarithmic of following (1/2)[4logx - log√(x5)] +log∛(x2)

Q: Express as a sum or difference of logarithms without exponents. log c 5 3 y z

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Q: Express as a single logarithm. log c(40) - log (5)

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Q: Use the Law of Logarithms to combine the expression: 3(log, (x)+3 log,(y)– 4 log,(z))

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Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 3 In(c)

A: Given  ln(a+b) + ln(a-b) - 3 ln c  = ln [ (a+b)(a-b) ] - 3 ln c   = ln ( [ (a+b)(a-b) ] / c ) ln a +…

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

A: Given : log7xy2

Q: Expand and evaluate numerical terms: log [√(xy) /1000]

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Q: Write as a single logarithm: 1 In(x - 1) + 2 In(3r + 1) + In (r? + 9) - 2 ln 3- In z 2 3 In 2 -

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Q: Write the expression as a logarithm of a single expressio numbers. log, m- log, n +5 log, k

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Q: Write the logarithm in expanded form. log3((x2y)4)

A: Given information

Q: Express as a single logarithm and if possible simplify

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