In Exercises 16–18, write each equation in its equivalent logarithmic form. 16. 6 = 216 17. b' = 625 18. 13' = 874

Q: what is the value of log27 4732, rounded to the nearest ten-thousandth? 1. 8.4621 2. 3.6750 3.…

A: We need to evaluate the value of the following expression log274732

Q: 3 log, 1=

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

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

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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: 29. Use the Change-of-Base Formula and a calculator to evaluate log, 19. Round your answer to three…

A: To evaluate: log419. Solution: We know, log base change formula is given by: loga(b)=logx(b)logx(a)…

Q: se-2 log table (printed in

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

A: 5. The given expression is,lnxy2z3

Q: 4. a) Can you punch the following into your calculator and solve? Why or why not? log,(512) b) Based…

A: Yes, calculation of logarithm in calculator can be performer easily we have to use ln if log is…

Q: State the three Laws of Logarithms.

A: According to the question, we have to state the three laws of logarithms. The logarithmic value of…

Q: Expand the logarithmic equation. log(10,000x)

A: Given expression

Q: In Exercises 9-20, write each equation in its equivalent logarithmic form. 9. 23 = 8 12. 5-3 = s 15.…

A: (9) We have to write the following equation in its equivalent logarithmic form: 23=8 Then we get,…

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

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Q: Using Properties of Natural LogarithmsIn Exercises 61–66, use the properties ofnatural logarithms to…

A: Use the properties of natural logarithms to simplify the given expressions     Properties of…

Q: 3(log7(x) + 2 log7(y) − 4 log7(z))

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Q: 18 8 log2+log2

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Q: Use the Laws of Logarithms to combine the expression. 3(log5(x) + 3 log5(y) − 5 log5(z))

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Q: 5. log, (MN) =

A: logaMNApply log rule:  logcab=logca+logcblogaMN=logaM+logaN

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

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

Q: 14. Use the change of base formula to write 2 different expressions that are equivalent to log215.

A: The above question is ansered bellow

Q: 15. Rewrite log,(1321): 16. Rewrite log (4.11) to base e = x as an equivalent exponential equation

A: Solution : We have to find out 15.Equivalent exponential equation of  log6(1321) = x 16. Rewrite…

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

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

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Q: Convert the logarithmic equation log, 4 = into an exponential equation in the form b =y Section 4.4…

A: We have given the logarithmic equation-…

Q: 5.2 logarithmic en(4t+1Det

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Q: Write into logarithmic form. 1) 2* = 12 2) 3* = 15 3) y = 5* 4) 7 = 8a 5) 4-2 =1 6) 112 = 121 16

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Q: Solve. log, (s) = – 6 S = Preview

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Q: Use the Laws of Logarithms to expand the quantity.          ____In  √ab

A: We have to expand ln ab

Q: Use properties of logarithms to expand the logarithmic expression ln (e4/8) as much as possible.…

A: Given: lne48

Q: Rewrite the expression 5 log æ – 5 log (x? + 1) + 2 log(x – 1) - - as a single logarithm log A. Then…

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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: 1, Section 7.4, Question 047 4 Write the expression log, 7 in the form log, x for b = 7. State the…

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Q: Match each logarithmic equation with an equivalent exponential equation. 22 = 4 = 16 3-3 = 81/3 = 2…

A: We have to find logarithmic equations for each exponential equation

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

A: Explanation: Given that,  logx2+43   Properties of Log: Power Rule: logpab=blogba

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

A: Givenlnx2y3z4

Q: II. Express each logarithmic equation in its equivalent exponential equation. 2. log10 10,000 = 4

A: The given question can be solved as shown in step2.

Q: Find the exact value of the logarithmic expression In e

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Q: 3 In e² 8. |

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Q: Write an equation for the transformed logarithm shown below, that passes through (1,0) and (0,2)

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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: What is the logarithmic form of the equation? = 14 Enter your answer by filling in the boxes. log…

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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: 6. Use log, 10 3.322 and log 8s 0.903 to approximate the value of the expression. log, 100

A:

Q: Find the exact value of each logarithm without using a calculator. Show and explain your work. 7.…

A: Given the logrithmic expressions

Q: log, 81 = 4 O 34 = 81 O 43 = 81 O 813 = 4 814 = 3

A: The given logarithmic function is, log381=4 To express the given logarithmic equation to exponential…

Q: 4. 3. Use the Laws of Logarithms to combine the expression.

A: Given, 14logx+24+13logx6-logx2-x-63

Q: What is the exponential form of the logarithmic equation? 5 = logo9 0.59049

A: Solution

Q: Write logarithmic equation in exponential form.

A: