For Exercises 13–18, use the quotient property of logarithms to write the logarithm as a difference of logarithms. Then simplify if possible. (See Example 2) 13. logiz 14. log 15. In 1000 16. In 17. log 18. log 100

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: Determine whether the following statement is true or false, and explain why. log11 = 0

A: log11=0

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: Change the exponential statement to an equivalent statement involving a logarithm. 7.5= 6% ......

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Q: 3 log, 1=

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

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 natural exponential function? Explain.

A:

Q: Write the equation of a logarithmic function that has been vertically stretched by 5, reflected in…

A: let y= ln(x )   be a logarithmic function.

Q: 15. Write a value in the box below that make the equation true. 1 log, 18 = 2-log, 6 - 4 log, %3D 3

A: Given query is to find the unknown value of the box .

Q: Which expression shows how to write log, y² as a base 5 logarithm? Select the correct answer below:…

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Q: For Exercise, write the logarithm as a sum or difference of logarithms. Simplify each term as much…

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Q: Use the Laws of Logarithms to expand the expression. logg(5st)

A: To expand the given expression using laws of logarithms

Q: The number line below shows a value on a log scale. log(x) -5 -4 -3 2 -1 0 12 3 4 5 What is the…

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Q: Evaluate the indicated logarithmic expression.

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Q: Complete the table by finding the appropriate logarithmic or exponential form of the equation…

A: We have to complete the table by finding the appropriate logarithmic or exponential form the…

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

A: 5. The given expression is,lnxy2z3

Q: You overhear a student talking about a property of logarithms in which division becomes subtraction.…

A: Explain the concept which the student meant by making the statement "logarithm in which division…

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: 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: Your friend claims you can use the change – of – base to write the expression (In x) as a common…

A: Yes, he is correct. Because

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: 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: Use the Laws of Logarithms to expand the expression. In a3

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Q: Use the Laws of Logarithms to expand the expression. .5 log2

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Q: Use the Laws of Logarithms to expand the expression. logg

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Q: For Exercises 56-58, use log, 2 - 0.289, log, 3 = 0.458, and log, 5 = 0.671 to approximate the value…

A: given: logb2≈0.289logb3≈0.458logb5≈0.671 we have to find the approximate value of the following…

Q: | Use appropriate laws of logarithms to evaluate 3 log16 2 +2 log16 8 – log16 2.

A: Log properties

Q: 8.) log2(3)(37) 9.) log4(64)(37) + log3(343)(2) 2 10.) log10 0.02 + log4– log2 47 3

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Q: What is the Natural Exponential Function?

A: To Determine: what is the natural exponential function Explanation: let f(x)=ex be the function…

Q: Describe the following property using words: logb bx = x.

A: we have to decribe the following property in the words:  logbbx=x

Q: Use properties of logarithms to evaluate without using a calculator. 6log[4](2) +…

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Q: Use the Laws of Logarithms to evaluate the expression. log3(V3)

A: log3(√3) This can be written as log3(3)1/2

Q: Evaluate Log1/2(16) explain your work.

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

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Q: Plot the number 1 on the log scale below. + + + + 10-5 10-4 10:3 10:2 10-1 100 101 102 103 104 Clear…

A: A logarithm of a number with a base is equal to another number. A logarithm is just the opposite…

Q: |3| Another way of writing 6 = log, 8is

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Q: Create an equation for the exponential function in the table below.

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Q: Use the Laws of Logarithms to evaluate the expression log2(40) – log2(10) -

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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…

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Q: Simplify using the laws of logarithms, then evaluate. a) 3 log16 2 + 2 log16 8 – log16 2 81 b) log3…

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Q: Use the Laws of Logarithms to expand the expression.

A: The given expression can be expanded using the following properties of logarithms. The exponent…

Q: 5. Evaluate. Show your work. Pro accepted. a. log,(4)(64)

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

Q: Match the equivalent statements using logarithmic properties. logs (12) +log3 (8) logs (12) - log3…

A: log312+log38log312−log388×log312log312log812

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

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Q: Use the product rule to expand the logarithmic expression: log4(7 . 5)

A: We have to expand the logarithmic expression log47.5 by using the product rule.

Q: Use the product rule to expand the logarithmic expression: log6 (7 . 11)

A: we have to use the product rule of logarithm to expand the logarithmic expression. log6 (7 . 11)