Express log; M+4log, Nas a 3 single logarithm. M a) log; b) log, (M'³N*) M c) log; d) log; (MN) O a A

Q: Toge Logins 9. 9. 2) loqy(61x VE4")+ log, 4'÷ 256

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Express log in terms of A, B, C, where log 2 = A. log 3 = B. and log 7 = C. 2A 2B 1 OA+B-1 ОА+2B -1…

A:

Q: PROVE that log, 100 = 2(1 +log; 2)

A: We have to prove that                                     log5100=21+log52

Q: Express x in term of y if: log,xy =2 +2log,x -3log,y

A: Given that:  log4xy=2+2log4x-3log4y We have to express x in the form of y.

Q: (*) We can expand log to get

A:

Q: 109. Show that log = log, M - log, N, where a, M, and N are positive real numbers and a 1.

A: Given: logaMN=logaM-logaN

Q: Express as a product. 9 log 10y - 9 log 10y

A: The given expression is  log10y-9

Q: 6. Use rules of logs to write as the log of a single quantity. a) 2log3 x - log3 4 b) In x + In(x+1)

A: We will use the listed properties of logarithm to solve this question.

Q: Expand: log, (xVy).

A: logbxy3=logbx·y13

Q: log,,3 + log, (4x + 1) = log,o (x +1) +1

A:

Q: Evaluate the expressio 1 log 6 6 1 log 6 6 %3D

A:

Q: asb b? =In 2. %3D (3

A:

Q: Express the following using a single log: 3Log ab2 -Log a2b - 4 Log a/b - 3Log b2

A:

Q: jlog(4- ji') (541.5) In log(4ejn) j log(-7)

A:

Q: PROVE that log5 100 = 2(1 + log5 2)

A:

Q: Show that, log(-1+i)² + 2log(–1+i).

A: Use the formula logz=lnr+iθ. To find log-1+i2:…

Q: log, 5= 0 1 O 6 8. 0 7 O 5

A: To find

Q: 1 Use log,4 0.712 and log. 12~1.277 to evaluate log, 3 1. log,

A:

Q: Show that log,(n) € O(log,(n)) for any b>0 with b 1· Generalize this result.

A:

Q: Show that log, (x + Vx² – 1) + log,(x – Vx – 1) = 0.

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

Q: In LRT reject H, when Ais small, so we reject H, when the value -2 log A is small Select one: True…

A: Answer : False

Q: Which of the following is NOT equivalent to log, 144w+ log x²+log,y+ - loga144 – (z + 1)logaw 3…

A:

Q: .Express in index notation: a) loga 8 = c ii. Simplify: 3log3 - log 27

A: I.Express in index notation:  a) loga 8 = cAnswerlogam=n ⇒ m=anThereforeloga8 = c ⇒8=ac

Q: Use the properties of logs to expand: x+5 b) log+ 3x-2 d) log, x(x + 4)

A:

Q: D.  Express as a single log and natural log :                ( log3 3 +   log3 6 +  log 3 2 ) – (…

A: Consider the given expression: log33+log36+log32-log318 Here, the objective is to express as a…

Q: Expand log,() o bg(3)-log,(2) O be2)-log-(

A:

Q: 9.5. Show that (a). Log(1+ i)? = 2L0((1 + i) but (b). Log(-1+i)² + 2Log(-1+ i). %3D

A:

Q: 4. If log,v =logox- (2logby+log,z), what is the value of v?

A: Logarithm s

Q: Given that x, y, z >1 and w be a positive number such that log, w = 24, log, w = 40 and logrvz W =…

A:

Q: 1. Simplify the expression with four a(0,3,4,7,10,12,14).Draw the Circuit in logisim with minimum…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: 2log, x-log, y+log, z

A: Follow the procedure given below.

Q: Which of the following in not equivalent to log, 3z O 4 log, y - log, 3x O 4 log, y – log, 3 - log,…

A: logmn=logm+logn log(m/n) =logm-logn

Q: 13. Determine whether or not each statement is true or false for all x>0 & y>0; if a false, provide…

A: The solution is :

Q: 13. Determine whether or not each statement is true or false for all x>0 & y> 0; If a statement is…

A:

Q: Write as the log of a single quanity: 1/2 [3logx + logy - log5]

A: Given that 12[3logx+logy-log5]simplify it in single log quantity

Q: ,162,20 If log A log(x) + Blog(y) + C log(z) 27 A = В - C =

A:

Q: 2. Rewrite as a single log (condense): 7 5, loga (xy®) +12lo9 x12 - 5log. (y) 16,,8 8

A: Answer and explanation is given below

Q: 1. Express logx m + log, n-Glogx m- log, n): as a single logarithm.

A: As per our guidelines we are supposed to answer only one question, kindly repost the remaining…

Q: Assume X, Y, Z are positive numbers. Use propertie of logs to write the expression - 2log X-blog₂ y…

A:

Q: Show that, log(-1+i)² # 2log(-1+i).

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

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

A:

Q: 2. Rewrite in terms of a single log (condense): (15log. (x) + 10log. (v)]– 7[3lo9. (x) + loga (v)] 5

A:

Q: Express p in term of q if: log,p -log,q =1

A: We have to express p in terms of q.

Q: If log, 1 a =– and log, vb =3x², show that x = - %3D 6

A: logba=1x  →1  &  logab=3x2  →2

Q: Without using log tables prove that 1orsid ei boeu ss to 16 +12 log10 15 25 +7 log10 24 81 = 1 80…

A:

Q: 3-Given that a=log, 3 and b=log ,6, find log, 24 in terms of and b

A:

Q: Express log 45 in terms of A, B, C, where A = log 2, B = log 3, and C = log 7. 2A B 2 A+ 2B 1 A+2B+1…

A: Given  A=log 2, B=log 3, and C=log 7 We have to express log 45 in terms of A, B, C.

Q: Express as a product. log A (y)

A:

Q: Exercise 7. Find the Hoor of each logarithm. That is, jor k being the logarithm, find the inmteger…

A: Please see the below picture for detailed solution.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.