1) lag is equal to logizs b)3, c) 3x .d) none of them

Q: Suppose that log, x = 5 and log, y = 4 compute %3| log, Vx²y³

A: Given

Q: 9. What is the maximum value of |Log z| |2| 1? on

A:

Q: Use the trapezoidal rule with five function values, together with appropriate log laws, to show that…

A:

Q: Express In(1+r²) +In r- In sin r as a singel logarithm.

A: Use property of log :→n ln(m) = ln(mn)→ln(m) + ln(n) = ln(mn)→ln(m) - ln(n) = lnmn

Q: How do I expand this log expression? xz/5y x times the square root z over 5y

A: We have to expand the log expression:

Q: .Expand log (1 + sin x) in powers of z as far as the term in r.

A:

Q: The simplified form of In(÷-) using logarithmic rule is yz 4ln x+ In y- In z 4 In x- In y-In z 4ln…

A: The objective is to simplify the given expression using logarithmic rule. The given expression is

Q: H-w/ prove That: の legiキ2109i @ log (i+i)=2 loy (iti) logそキ2 \ogz }2こメう

A: (1)

Q: Show that for 2 degrees of freedom, the probability P of a value 1 of greater than yo is ex and…

A:

Q: (b) Show that u(#) = log log (1 + l#|") belongs to W(U) but does not belong to L(U).

A: Given: u(x)= log log(1 + |x|^-1 )

Q: determine the nature of functon for even and odd Ax) = log(x+ Vx² +1) ?+1)

A:

Q: dz dz +y дх = 50 +x4°y+y5° ), Prove that x ду If z= log (x50

A:

Q: Compute the deriv: (c) y= log2 |¤|

A: Here we have to compute the derivative  c) y=log2x d) y=x3-1x4+1

Q: Assume that your utility has a natural log function U(W)=ln(W), which is a concave function. Your…

A: Answer:----.               Date:----11/10/2021

Q: Differentiate g (†) = 4 log, ( t ) – In ( t )

A: Given g(t)= 4log3(t)-ln(t) Now we have to differentiate g(t) as shown below

Q: 2 1. Express log,(64 x v64*) + log, (46 V256. 43 logarithm

A: Using log44 = 1

Q: Solve for z.  Log(z)=1-i   (Also, is there a case where there are four distinct solutions?  Or…

A: Given logz=1−i We have to solve the equation logz=1−i for z Use logarithm property  logm=n⇒m=en

Q: Suppose that a and y are real numbers such that log2 (x) = – 3 and log2 (y) 6. Calculate the…

A:

Q: Express log x Vy/z in terms of logarithms of x, y, and z.

A: Express log x4y2/z3 in terms of logarithms of x, y and z.

Q: Prove that | log,x| E O(log2 x )

A: It is obvious that log2x≤log2x so, log2x∈Olog2x.

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

A: Answer : False

Q: 2. If the rate of transmission of an additional case of covid-19 is 0.3 per day starting February…

A:

Q: What will the coefficient (x – 1)² in the expansion of loge x about x = 1 ? %3D

A: Introduction :

Q: 5) Show the proof that loga M" = r· loga M

A:

Q: Prove that log(x + y) = log(x) + log(y) if, and only if, y = 1, where x > 1.

A:

Q: . if võ =o, i =1 and Ju = 2 estimate 13 %3D by constructing Logrange polynamial, Itn with the exact…

A:

Q: Determine the approximate values af log3 (VI6,0L + V24.99 (Instruction d logax dx In a

A:

Q: Find all positive values of 'a' for which the equation log (ax) = 2 log (x + 1) has the unique root.

A:

Q: Solve for A: AR+AT=E

A:

Q: (ii) Form the PDE by elimınatıng arbitfary log z=a log x+ V1-a' log y+ b

A:

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

A: Solution Answer. True Because LRT is the likelihood ratio test and given statement says that the…

Q: In particular, the law says that the time, T, it takes to make a choice can be modeled by the…

A: Given T = b.log2(n+1)where n = number of options from which to choose,b = constant number T = time

Q: 7. Use properties of logarithm to expand In (y³z²Vx – 1)

A: Property of logarithm

Q: Prove the third law of logarithms. [Hint: Start by showingthat both sides of the equation have the…

A: To prove this, we show that the derivative of both sides of the equation is same.

Q: Solution to the equation Log(2iz + 1) = in is None of them z = ni z = i

A: Usually, log x is represented as log10x . If log x=y , then x=10y .  The natural logarithm, ln x is…

Q: 6) Given that x = log, b. write down an %3D expression for b in terms of a and x. log, t that log, t…

A:

Q: Evaluate y for the fx)= 4"-5 log,(x) 4*ln 4- Inx 4- x In 9 4- In 9 4'ln 4- x In 9

A: Answer

Q: How do I expand this logrithmic equation? In(x2 square root of y/z)

A: Given:

Q: (b) Show that 1 1+ 2 tanh- (2) = ; log

A:

Q: Compute 3 In(e) +2 log(10) 7 11 1 9. 3. B8

A: Solve by properties of logarithm.

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

A: Explanation of the answer is as follows

Q: 2 log(x+y) = 3log3 +logx + logy

A:

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: d log, x = 1 dx [(In a)(x)]

A:

Q: What is the linear approximation of log base 5 x at x=5

A:

Q: Use values of f(x) = In(x) %3D to estimate log ( 6.67 ) using 4th order

A:

Q: Prove the following equation(with appropiate restrictions on the variables) logx–2=log(x/e²)

A: Here we will use the following formulas logab = log a -log blog(ax) = x log alog e = 1 Consider…