For Exercises 69-78, use log, 2 = 0.356, log, 3 = 0.565, and log, 5 = 0.827 to approximate the value of the given logarithms. (See Example 7) 69. log, 15 70. log, 10 71. log, 81 72. log, 125 73. log, 50 74. log, 12 15 75. log. 76. log. 77. log, 100 78. log, 225

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

A:

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: In Exercises 16–18, write each equation in its equivalent logarithmic form. 16. 6 = 216 17. b' = 625…

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

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 the phrase ''The logarithm converts multiplication into addition."

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Q: Determine which if any of the logarithmic expressions are equal. Justify your answer.

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

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: What is the common logaruthim for  Log10641.11?

A: Common logarithm is the logarithm with base 10. It is also known as the decadic logarithm and as the…

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

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

Q: Which of the following are equivalent to log, (3)? Choose all that apply. O log, + log, (30) 10 O…

A:

Q: In Exercises 9- 16, write each expression as the logarithm of a single expression with coefficient…

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

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: 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: 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 of the following are equivalent to log, (2)? Choose all that apply. O- log, () 1 Olog, (8) O…

A: Let's simplify each expression one by one.

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 10-20, evaluate each expression without using a calculator. If evaluation is not…

A: Given logarithmic expression is: log2 8+log5 25 We have to evaluate it.

Q: For Exercises 9-16, write the equation in exponential form. (See Example 1) 9. log, 64 = 2 10. log,…

A: Simplification of the expressions helps to convert the logarithmic form into the exponential form.…

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…

A:

Q: In Exercises 81–100, evaluate or simplify each expression without using a calculator. 81. log 100…

A: Since you have posted multiple questions so we solve three parts for you, to get the solution of the…

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

A:

Q: DISCUSS: Comparing Logarithms Which is larger, log, 17 or logs 24? Explain your reasoning.

A: log417 and log524

Q: For Exercises 35-38, a graph of data is given. From visual inspection, which model would best fit…

A: Consider the graph of the question 35. Find which model would best fit among: y=mx+b, y=abx, y=a+bln…

Q: I need to know the answer of  log31(150)=  log31(200)=

A: Logarithmic Question

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: Use log4 15 = 1.953 and log4 34 2.544 to match each logarithm with its approximate value. log4 225…

A:

Q: For Exercises 55-64, simplify the expression without using a calculator. (See Example 6) 55. log, 4"…

A: we have to simplpify the expressionlog4411

Q: In Exercises 105-108, evaluate each expression without using a calculator. 105. log:(log, 7) 106.…

A:

Q: Describe the Natural Exponential Function?

A: Given: Natural exponential function: when the base b of the exponential function y=bx is replaced…

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

A:

Q: 21 ? Which of the following is equivalent to log, 5 O log, 3 · log, 7 log,5 glog, 21 O log, 5 – log,…

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Q: 6. Which expression is equivalent to log5 log, m 5 log, n □log, m-5log, n log, m-3-2log, n log,…

A: Given expression is log5m125n2

Q: 1. log, 64 2. log, 625 3, log, 81

A: As no particular question is asked, so I am solving first three Here we will use the formulas: logaa…

Q: Which of the following is equivalent to log36? O A. log3 + 2log2 + log2 B. 3log2 + 2log3 – log2 C.…

A: Choose the correct option.

Q: Which of the following are equivalent to log, (4)? Choose all that apply. O log, (24) – log,(6) log,…

A: We use logarithmic properties

Q: For Exercise, use logb 2 = 0.356, logb 3 - 0.565, and logb 5 = 0.827 to approximate the value of the…

A: Given: Find the approximate value of logarithms. Property used: For logarithms,

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

A:

Q: In Exercises 117–120, find the exponential model y = aebx that fits the two points. 117. (0, 2), (4,…

A: 118.The exponential model fits the two points 0,2, 5,1

Q: Given that log, a+log, b=3, calculate all the possible integer values of a if b is also an integer…

A:

Q: I only need help with question 34

A: Consider,

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 =…

Q: Which of the following is equivalent to 3= 817 (A) logg4= 3 (B) log,81 = 4 (C) log,81 3 =81 81 (D)…

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