In Exercises 50-53, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. 50. log,(36x) 51. log 64 xy²" 52. log: 64 53. In

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate…

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Q: Evaluate the expression log10010 without using a calculator. If evaluation is not possible, state…

A: To evaluate log10010

Q: 3 log, 1=

A: We have to evaluate the given expression which is 3log21.

Q: Use properties of logarithms to expand the logarithmic expression logb x7 as much as possible. Where…

A: Properties of logarithms:  loga(P) = loge(P) / loge(a) log (x)n = n*log(x)

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: 6. A bacteria is known to double every 20 minutes. How long will it take 5mg of bacteria to grow to…

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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: Evaluate the expression log ∛10 without using a calculator. If evaluation is not possible, state the…

A: Known facts: logab=bloga log10=1

Q: Evaluate the expression log4 64 without using a calculator. If evaluation is not possible, state the…

A: Given expression is: log464 In logarithmic function we know that:…

Q: fill out the exponential side of the sheet. Create 2 representations under exponential side.

A: To determine the two-exponential form of the logarithm.

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: Express as a sum or difference of logarithms without exponents. log b y4z7 What is the equivalent…

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Q: Use these formulas to express the numbers in Exercises 61–66 interms of natural logarithms.61.…

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Q: Evaluate the expression log3 38 without using a calculator. If evaluation is not possible, state the…

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Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A: To find : 3 ln e3- ln e3 =?

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: To find a logarithm of a number, two case must be considered. Critically outline these cases in the…

A: Given problem is : To find a logarithm of a number, two case must be considered.Critically outline…

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: Evaluate log7 55 using common logarithms or natural logarithms. Round your answer to the nearest…

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Q: In Exercises 44–46, use inverse properties of logarithms to simplify each expression. 44. In e 45.…

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Q: Expand the logarithmic expression. 57 log . 74 1 -log;57 + log74 2 1 - log,57 - - log,74 2 2 O log,…

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Q: Describe the power rule for logarithms and give an example.

A: Power rule for logarithms: logb(am)=mlogba

Q: The logarithm of a quotient of two numbers is the same as the -Select-v of the logarithms of these…

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Q: Write a logarithmic expression that you can condense to a single quantity using at least two of the…

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Q: Use properties of logarithms to expand the logarithmic expression log7(7/x)  as much as possible.…

A: Given logarithm expression is log77x. We have to expand the logarithm expression using properties.…

Q: evaluate log1/2 (16)

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Q: Evaluate the expression log3(-9) without using a calculator. If evaluation is not possible, state…

A: Let the given value be y - y = log3-9Here, the solution to this problem is not possible because a…

Q: Approximate the logarithm using the properties of logarithms, given the values logb(2) 0.3562,…

A: Solution of given question is written in below steps.

Q: Expand In 1 into a sum or difference of logarithms containing no exponents. Question Help: DPost to…

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Q: 3. Identify the expression that is equivalent to the given logarithmic expression. 35 log,- 59 [A]…

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Q: 1. () Completely expant the followaing into the sum or difference of logariths or Constant multiples…

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Q: Use properties of logarithms to expand the logarithmic expression logb x7 as much as possible. Where…

A: The given logarithmic expression is logbx7. Properties of logarithms: logbP=logaPlogablogxn=nlogx

Q: .162,8 Write expression log as a sum or z16 difference of logarithms with no exponents. Simplify…

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Q: The logarithm of a quotient of two numbers is the same as the -Select-- of the logarithms of these…

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Q: Use properties of logarithms to expand the logarithmic expression logM -8 as much as possible. Where…

A: Known fact: log ab=blog alog mn=log m + log n

Q: 30. log3 (금) -3logs (3)

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Q: In Exercises 41–67, use properties of logarithms to condense each logarithmic expression. Write the…

A: Note: We will answer the first question. Please specify the one you would like answered.

Q: Use the Laws of logarithms to rewrite the expression ,17 log, x* . in a form with no logarithm of a…

A: topic- logarithmic equation log(ab)=log(a)+log(b) log(am)=mlog(a)

Q: Evaluate the expression log16 4 without using a calculator. If evaluation is not possible, state the…

A: Evaluate: log16 4

Q: The logarithm of a product of two numbers is the same as the  ---Select--- product quotient…

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Q: In Exercises 29-44, write each expression as a logarithm of a single numbe if possible. Assume each…

A: We have to express in single expression from the given expression

Q: 5. Condense the logarithmic expression logx-logy+logz.

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Q: 6. List two similarities and two differences between natural logarithms and common logarithm

A: Natural logarithm is denoted as 'ln' and common logarithm is denoted as 'log'.

Q: Use properties of logarithms to expand the logarithmic expression log(1000x) as much as possible.…

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Q: 6. Explain how the laws of logarithms are related to the exponent laws. Then, explain how these laws…

A: As we know that y=logex⇒ey=x Let us prove one of the exponential law using law of logarithms law To…

Q: .Use properties of logarithms to expand the logarithmic expressions (No decimal answers). с. In

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Q: 2) Use laws of logarithms to fully expand the expression. log9 x²+9.

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Q: The logarithm of a product of two numbers is the same as the-Select- vof the logarithms of these…

A: Given that: log3(9.27)=log3(9)+