100M Laura was asked to expand the expression log in terms of log M, log N, and constants. Laura's work/explanation: First I have to use the 2nd Log Law to turn the log of a quotient into a difference of logs: 100M log = log(100M) – log N² Now I have to use the 1st Log Law to turn the log of a product into a sum of logs: log 100 + log M - log N2 And finally I have to use the 3rd Log Law to turn the argument's exponent into the log's coefficient: log 100 + log M- 2 log N

Q: 3. Use the properties of logarithms to rewrite each expression as a sum, difference, or constant…

A: Given:

Q: 1. Use the properties of logarithms to expand the expressions as a sum, difference or multiple of…

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Q: 8. Express log8+ log10-log2 log 82 as a single logarithm. а. b. log 40 log 78 с. d. log 16

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Q: 32. The expression loga = 2logb +logc can also be written as 2ab O log a O log 2bc a O log 0: 62c…

A: I have explained in details please see the explanation and if any doubt please let me know

Q: Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of…

A: Simplify the given logarithmic equation.

Q: II. Use the properties of logarithms to expand each expression. 3. 76 (zx)4 6. log4 5. log5

A: We have to simplify the expression as much as as possible by using property of logarithms

Q: AB If r = C determine what logr is equal to, then expand the expression using the properties of…

A: Given

Q: log 12 = ? A. log 3 · log 4 O B. 4 log 3 2 log 2

A: Given  What is log 12 =?

Q: 81 a) 3 log16 2 + 2 log16 8 – log16 2 b) log3 6+2 log3 2

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Q: 5. Write an expression equal to - log. (c) · log (b) |using exactly one log. (hint: the base of the…

A: To answer the given question of logarithms.

Q: 78. (log, k log, m) - log, a

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Q: (a) log₂ 11 + log, 4 = log₂ 7 (b) log₂-log,₂3 = log₂ 1 (c) log -2log₂ 25

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Q: Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of…

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Q: -2+log,(c²-1)= log,(c+1)

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Q: 3. Determine the value for the following expression using the logarithm and exponent laws. Show all…

A: Let's find.

Q: nd Attend.. Inbox (499) - nicolia. 28 Milford Public Scho. Citation Machine . 10 Major Accomp erties…

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Q: 6. For the expression log25 2, the reference number for the form of the expression in terms of k is…

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Q: 6. Use the properties of logarithms to write the expression as a single logarithm. log,(x+4)+=log,x…

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Q: 729 2187 (c) (i) Given that log, 2+ log, 3 =1, express log, 1024 and log, in 2048 terms of log, 2…

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Q: Select the correct answer. How would you write this expression as a sum or difference? log,(vz ) OA.…

A: Using Rules Of Logarithm.

Q: use the properties of the natural logarithm to: A. expand the logarithmic expression: ln (2x/x+2)…

A: A) ln2xx+2B) 5 lnx-7 lny-8 lnz

Q: onvert 4" = 1465 to logarithmic form and use the change of base formula to solve for n. Round answer…

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Q: Expand the logarithm and simplify as much as possible: log:(x2 – 9) Use the properties of logarithms…

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Q: (8 x V5 Write log in terms of 81 log 2, log 3 and log 5 to any base.

A: Given, log (8*51/4/81)

Q: 2. Use the product property of logarithms to write as the sum of logarithms. Simplify where…

A: Given,  a  log464xy  b log100z clog22m.4n  We have to write the logarithms as sum of  logarithms.

Q: Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of…

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Q: M. log, M Swthat log psitive real numbers and aL log, N, where a, M, and N - 1.

A: logaMN = logaM - logaNAssume that x= logaM and y =logaNx= logaM→ M = ax y =logaN→N = ayMN = axay =…

Q: 1og 100 Use log27 2.807 and log221 4.392 to approximate the value of each expression. log23 7. 8.…

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Q: Зх-5 Which expression is an expanded form of log, x+3 Select the correct answer below: O log, (x +…

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Q: 4 n n Given that log 20.571, log 4≈ 1.141, and log 6≈ 1.476, find log n

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Q: 22.Using properties of logarithms, log (ab^5 ) can be written as ? a. Sloga + 5logb b. 5loga + logb…

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Q: Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of…

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Q: Determine the correct first step for condensing the expression below into a single logarithm and…

A: Given. Identity is. Y = 2+ log25 - log210

Q: 1. Using exponential notation, we can write V5 as

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Q: log15(5) = a log15(2) = b Note: 15 is the log base in this case Express log15(360) in terms of a and…

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Q: Iogs Y - Z If this cquation what changed into exponeial forit would road Base t Auuer The Base is…

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Q: Evaluate (log_2 3 ) (log_3 4 ) (log_4 5 )......( log_30 31 ) (log_31 32 ) Express your answer in…

A: logba = log(a)log(b)

Q: 8-125. Rewrite each expression as a single logarithm. 8log, (y)+ log, (2x) log.(Sm)- 9log, (n) b. a.

A: Logarithm properties 1. logmn+logmp=logm(np) 2. logmn-logmp=logmnp 3. alogmn=logmna

Q: use the Law oflogarithmato expand the expression a) log7 (AB^5)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: 3. Use the quotient property of logarithms to write as a difference of logarithms. Simplify where…

A: [a]

Q: A. Convert from log form to Exponential form emhegol snivalio juk jobaun 1. log, 81=4 2. log, 8=-3…

A: The logarithmic form, logab=x, can be written in exponential form as ax=b

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Q: Log 2 = 0.301 log 3 = 0.477 log 5 = 0.699 log 7 = 0.845Using the information above onlyFind :-a) Log…

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Q: 6. Rewrite the following expressions as a single logarithm. Show all your steps! a. log, 3+ log,…

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Q: 1a)Use the Laws of Logarithms to expand the expression. log6(x(x − 8)) 1b)Use the Laws of…

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Q: Use the one-to-one property of logarithms to solve. (Enter your answers as a comma-separated list.)…

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