Solve for x the equation log, x+log, 81= 5log, 3.

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

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Q: 7) Solve for "x" in the equation log,(x + 2) -1 = 4 (3 decimal point accuracy, %3D

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Q: 1 ,x>0, m#1 x (log x)"

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Q: log,(x) + log,(x – 8) = 2 - 3 3

A: We have to solve the given logarithmic equation: log3x+log3x-8=2 We know the sum property of…

Q: Solve algebraically, showing all your steps. log(4000x)-log( x^2)=6

A: Given that log4000x-logx2=6To find : value of x

Q: 4. Explain why the following is true or false. to produce a true statement. log,(x³ +y³)=3log,…

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Q: 15. If log, b? = 5 determine the value of log, (a²). 16. Solve for x, log , (x-4)+ log,(x+2)=1 and…

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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: 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: Determine whether the below given statement makes sense or does not make sense, and explain your…

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Q: 3. Glog,(x) – log,(9) = log,(81) a. Solution: b. What property(ies) did you use to solve this…

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Q: log(x) is the exponent to which the base 10 must be raised to get ---Select--- v. So we can complete…

A: We use logarithmic properties Logamn= nLogam  Logaa=1

Q: Solve. Remember to check your answer. 4. 2 log2 3x 3-log,x- 3

A: Solve as follows.

Q: Solve the equation clearly showing all work. log, 4 – log, 3x = 1 Leave your answer in terms of a…

A: Recall: logam-logan =logamn logbx=y is equivalent to by =x.

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

A: Part (i) The equation to convert natural logarithm to common logarithm is, logx=lnx×log(2.718) This…

Q: Solve the following problem. Please show all work. Use log32 = 0.6310 and log37 = 1.7712 to…

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Q: True or false: -3 is a solution of log; 9 = 2 logs x..

A: A solution of a logarithmic equation is a value for which both sides of the logarithmic expression…

Q: Time for a prediction! Based on all of your vast math knowledge, what do you think will happen to…

A: To find what will happen to the graph of, y=log3 x, if we add a +2 to the end and make it y=log3 x+2…

Q: log(x) is the exponent to which the base 10 must be raised to get ---Select---v So we can complete…

A: We know that logx is the exponent to which base 10 must be raised to get x. Example: log10x=x…

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: The expression 2 log 5-log,6- log, 8, a > 0, equals A. log 29 B. log, 30 C. log, 75 8 D. 3 log, 3

A: (1) : loga x + loga y = loga (xy) (2) : loga x - loga y = loga xy (3) : loga xn = n loga x

Q: how do you use the definition of a logarithm to solve the equation? step by step please

A: Given equation is,

Q: 6log,(x) – log,(9) = log,(81) || 2 2

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Q: 8. Between what two consecutive integers must the value of log, 7342 lie? Justify your answer.

A: Consider the given logarithmic expression, log47342 since, the number 7342 lies between, 46=4096 and…

Q: . a. Evaluate log, 2 b. Evaluate 5 - log: 2 c. How do the values of the expressions in parts (a) and…

A: we have to evaluate the given expressions (a) evaluate log225(b) evaluate 5·log22(c) we have to…

Q: Solve for 2: (You must show all of your work.) log, (4 – z)+ log,(x + 2) = log, (3 – 2x) -

A: We know loga(uv) = logau + logav logax=logay ⇒ x=y

Q: Determine whether the equation is true or false. Where possible, show work to support your…

A: Let log6x-1 be a. Thus,  log6x-1=a6a=x-1   Let log6x2+4 be b. Thus, log6x2+4=b6b=x2+4

Q: (b) Suppose log,(5) = c and log,(2) log, (50) in terms of c and d, but not involving logarithms. d.…

A: objective is to find the expression.

Q: Solve for a positive value of x. log, (49) = 2 %3D

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Q: see attachment

A: Raise both sides to the power of 10

Q: Change the logarithmic statement to an equivalent statement involving an exponent. In 12 =x The…

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Q: g) log,(-x)+log, (3–x)=log,10

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Q: please solve below equations log p - log (p-7) = log (p - 15)

A: Note: As per our guidelines, we are supposed to answer only one question. Kindly repost other…

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: 9. Solve the following equations. Show your work. a) p= log, 1024 b) 6- log, 64

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Q: 3, 256“ · 16* = 64* - 3 V %3D

A: To find: The value of x. Given: 25623·16x=64x-3. Concept used: Law of exponent:…

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

A: Given :           log5x+35=2

Q: 9. Between what two consecutive integers must the value of log, (00) lie? Justify your answer.

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Q: 14) log,2¯* =1,

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Q: Solve for : log, (+ 6) = 2 Write log (a+ 6) = 2 in exponential form. Find the value of x.

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Q: 5. The yalue of log, V8 is A 3 B C 3

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Q: 27. (a) log3 27

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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: 1. What value of t would make the equation 2' = 6 true? 2. Between which two whole numbers is the…

A: (1) We have to find the value of t for which the equation 2t=6 is true. (2) We have to find the…

Q: how do you use the definition of a logarithm to solve this equation? step by step please

A: Use definition of a logarithm to solve the equation

Q: Solve for x. (not all possible solutions are actual solutions) log,(x + 5) = 2 – log, x -

A: We have to solve

Q: 10. Solve. 4 – log2(x) = log2(x - 6) 10. Write the restrictions on the domain. Show your…

A: Inside log we must have a positive number  So, x>0 and x-6>0 So, x>6 So, domain is x>6…

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.