Make Sense? In Exercises 137–140, determine whether each statement makes sense or does not make sense, and explain your reasoning. 137. Because the equations 2* = 15 and 2 = 16 are similar I solved them using the same method. 138. Because the equations log(3x + 1) = 5 and log(3x + 1) = log 5

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

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Q: 6) The expression log, 64 is equivalent to 1) 8 2) 2 3) 1 2 4) 1 8

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Q: It’s important for me to check that the proposed solution of an equation with logarithms gives only…

A: We know ,a logarithmic function of the form,logax is defined only when, Meaning that logarithmic…

Q: In Exercises 13-15, write each equation in its equivalent exponential form. 13. = log9 7 14. 3 =…

A: The logarithmic functions are inverses of exponential functions . The logarithmic function which is…

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: In Exercises 139–142, determine whether each statement is true or false. If the statement is false,…

A: Defination of logba Let  x = logb awhich means  a = bx, that is logb a is a value , which is a power…

Q: 4.) 6 log, 41 – 7 log3 27 1 5.) log,+ log24 576 49 6.) log4 100 – log4 50 + log4 64 – log3 27

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Q: In Exercises 20-22, simplify each expression. 20. In e* 21. log, b 22. log, 1

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

Q: (b) log(- yz-4

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Q: An exponential function in the form y = 729(b)* contains the point (3, 1). What is the value of b?

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Q: 4log 3 - log 33 =

A: Given query is to find the value of the expression.

Q: Given log2 A + log2 B = 5, calculate all the possible integer values of A and B. Explain your…

A: Note: for any a>0, b>0, c>01) loga(b)+loga(c)=loga(bc)2) If logab=c then b=ac

Q: Express th equation in exponential form.

A: (a) Given equation log515=-1 Use the basic rules for logarithms, if logbc=k, then solution of this…

Q: Using logarithmic properties, what is the solution to log4(y – 9) + log43 = log481? Show all…

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Q: 3. Explain in a complete sentence why logą 20 is between 2 and 3.

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Q: In Exercises 93-102, solve each equation. 93. 52. 54r = 125 94. 3+2.3 = 81 95. 2|ln x| – 6 = 0 97.…

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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: 1. What is log,, 100? What about log,00 10? 2. What is log, 4? What about log, 2? 3. Express b as a…

A: values=?

Q: Clare says that log 0.1 = –1. Kiran says that log (–10) = –1. Do you agree with either one of them?…

A: Logrithmic

Q: 3. Log-linearize the equation, x, +a = (1-b)

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

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Q: In Exercises 74-79, solve each logarithmic equation. 74. log.(3x – 5) = 3 75. 3 + 4 In(2xr) = 15 76.…

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Q: Solve using law of logarithms: log3 (x+3) + log3 (2x - 3) = 1

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Q: 18 8 log2+log2

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

A: Here we use some properties of logs to expand the given function.

Q: An exponential function in the form y = 256(b)* contains the point (4, 1). What is the value of b?

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Q: Solve log5 (x2 +16)  = 2

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Q: 48. Determine the exact value of log, 4.

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Q: 2 log, 5 = log,

A: Given expression to be evaluated is :  We will make use of following rule of logarithm to evaluate…

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log æ.…

A:

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

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Q: how do i solve the log equation for x? step by step please

A: Given equation is

Q: Solve. 5) log4 (9x - 7) = 1 5)

A: logb (x)=y exactly if  by =x and x>0  b >0

Q: 8) Solve the equation log, (x + 3) = log,(2x

A: We will solve for x.

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

A:

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log c.…

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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: Determine whether the equation is true or false: log6(x - 1)/(x2 + 4) = log6(x - 1) - log6(x2 + 4).…

A: Consider the given: log6x−1x2+4=log6x−1−log6x2+4 Solve Right Hand Side: log6x−1−log6x2+4

Q: How do I write this logarithm in terms of log3(5) and log3(7) using properties of logarithms?  The…

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

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log æ.…

A: Given that :-     f(x)=log3x4

Q: True or false: -10 is a solution of log5(x + 35) = 2._________

A: Given :           log5x+35=2

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: Use property of log

Q: What is the value of log, 81- log, 27? А. 1 B. -1 С.3 D. -3

A: The given expression is                                           log381-log327 To find the value of…

Q: 2. Can log:(-4) be solved? If yes,

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Q: What is the value of log, 8? Enter your answer in the box. log2 8 %3D

A: Find: log28 = ?