For Exercises 56-58, use log, 2 - 0.289, log, 3 = 0.458, and log, 5 = 0.671 to approximate the value of the given logarithms. 56. log, 8 57. log, 45 58. log.

Q: For Exercises 13–18, use the quotient property of logarithms to write the logarithm as a difference…

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Q: Andre says that log10 55 = 1.5 because 55 is halfway between 10 and 100. Do you agree with Andre?…

A: According to question log 55 = 1.5

Q: For Exercises 25-26, use log, 2 = 0.289, log, 3 - 0.458, and log, 5 - 0.671 to approximate the value…

A: (25) logb 72=logb 9·8=logb 32·23=logb 32+logb 23=2 logb 3+3 logb 2=2·0.458+3·0.289=1.783

Q: Explain why. a) log(100000) = 5 b) log,( – 16) = undefined

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Q: Which of the following are equivalent to log, (4)? Choose all that apply. 1 log, (16) log, + log,…

A: Given logb(4)

Q: Use the definition of logarithm to determine the exact value of each expression in Exercises 1-10.…

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Q: For Exercises 49-52, write the logarithm as a sum or difference of logarithms. Simplify each term as…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: In Exercises 64–73, solve each exponential equation. Where necessary, express the solution set in…

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Q: In Exercises 58-59, use common logarithms or natural logarithms and a calculator to evaluate to four…

A: 58.  Given expression: log672,348

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

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Q: What question can be asked to help evaluate log3 81?

A: What question can be asked to help evaluate log3 81?

Q: What are 3 properties of exponents and what are their companion properties of logarithms?

A: What are 3 properties of exponents and what are their companion properties of logarithms? This can…

Q: I can evaluate some common logarithms without having to use a calculator ,Determine whether the…

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Q: For Exercises 53-55, write the logarithmic expression as a single logarithm with coefficient 1, and…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Evaluate the indicated logarithmic expression.

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Q: Use the definition of common and natural logarithms to simplify. 10log(39)

A: Here given 10log(39) , base of the logarithm used is 10

Q: Which of the following are equivalent to log, (5)? Choose all that apply. 1 log,(125) 3 O log, (50)…

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Q: 5) Simplify In( using the properties of logarithms.

A: 5. The given expression is,lnxy2z3

Q: For Exercises 21-22, write the logarithm as a sum or difference of logarithms. Simplify each term as…

A: Given1) ln(x5y2wz13)2)ln(a2+b2104)

Q: Which is bigger, 9√9 or 10√10? Explain your reasoning.Hint: you’ll need to take a logarithm.

A: Here, two irrational numbers are given, which are,

Q: In Exercises 71-78, use common logarithms or natural logarithms and a calculator to evaluate to four…

A: Given: (71).  log5 13 (72).  log6 17 (73).  log14 87.5

Q: For Exercise, use logb 2 = 0.289, logb 3 - 0.458, and logb 5 - 0.671 to approximate the value of the…

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Q: In Exercises 23-25, write each expression as a single logarithm. 23. 8 log, x log, y 24. 7 logs x +…

A: The given expression is 8log7x-13log7y

Q: Write an example that illustrates why (log, x)' + rlog, x.

A: Substitution of values of r, a, and x into the given equation helps to prove the given. Find such…

Q: What is the real part of Log(-5 + 51)²? What is the value of Log(-5+ 54)? – 2Log(-5+54)?

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Q: For Exercises 115-116, use a calculator to approximate the given logarithms to 4 decimal places.…

A: Question (115) - (a) - log6.022×1023 = log6.022+log1023…

Q: For Exercises 25-44, write the logarithm as a sum or difference of logarithms. Simplify each term as…

A: 25) Given- log47yz To write- The above logarithm expression as a sum or difference of logarithms and…

Q: Explain why log,10 1 = 0.

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Q: Which expression has a greater value: log10 or log, ? Explain how you know. 100

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Q: Which of the following are equivalent to log,(5)? Choose all that apply. O log, (45) – log,(9) (:) -…

A: Use logarithms property

Q: For Exercises 69-78, use log, 2 = 0.356, log, 3 = 0.565, and log, 5 = 0.827 to approximate the value…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Which expression has a greater value: log, or log, b? Explain how you know.

A: Solve the given problem.

Q: 7. The base of the natural logarithm system is:

A: Natural logarithm is logarithm with base e (exponential base), mostly written as

Q: For Exercises 85-88, use the change-of-base formula and a calculator to approximate the given…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: do the points (0,1), (1,5), (2,25) represent an exponential function?

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Q: I estimate that log8 16 lies between 1 and 2 because 81 = 8 and 82 = 64.Determine whether the…

A: Given information: The value of log816 lies between 1 and 2, because 81 = 8 and 82 = 64.

Q: Watch help video What is the value of log, 512?

A: We use logarithmic properties Loga bn = n Loga b Loga a = 1

Q: For Exercises 45-68, write the logarithmic expression as a single logarithm with coefficient 1, and…

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Q: Which of the following are equivalent to log, (14)? Choose all that apply. You will receive full…

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Q: Evaluate log,13 5. Round your answer to the nearest thousandth. log13 5 2

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Q: What can you conclude about log3 81, or log3 92?

A: Our aim is to find the conclusion between log381,log392

Q: 4. When the expression log, 6-[log, 2+log, 4], b>1, is written in the form log, a, the value of a,…

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Q: The value of a rookie hockey card is modelled by the function = 16log24 x logx³, where x is the…

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Q: Use the graph of Ax)=4" to estimate the value of log, 27. 50 40 + 30 + 20 10 + -5 4 -3 -2 -ho 1 4.…

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Q: 2. Explain why log, 20 also tells us when the population will reach 100,000.

A: Please see the below picture for detailed solution.

Q: Express as a sum of logarithms. log g(18-12)- og 9(18 - 12) Enter your answer in the answer box.

A: Answer and explanation is given below..

Q: 6. Explain why the following logarithmic expression is undefined log, (-4) = %3D

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Q: What is the value of log10 (1,000,000,000)? Explain how you know.

A: Solution ) y =  log10(109) (Formula loga(x) = y if ay = x ) So  10y = 109 (Formula ( am = an  so m =…