If Y = Ab" , then log Y = n log(Ab).

Q: (a) log,(5x – 1) + 6 = 9 (b) 163x+1 = (4)*-1 %3D (c) In(x + 6) = In(11) – In(x – 4)

A:

Q: Is ln xy = ln x ln y a valid property of logarithms, where x > 0 and y > 0? Explain

A: ln(xy)=ln(x)+ln(y) using the addition property of logarithm. Where x>0 and y>0.

Q: Given that log x -3 and log y = 5, find log Vy.

A: The given expression is logx2y35 and logx=3   and   logy=5

Q: Show that, log5 x can be expressed as 2 log, x, where b> 0.

A:

Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

A:

Q: Since the data obtained as a result of 5 observations of an experiment is ∑ log Xi = 6.27, what is…

A: n = 5 ∑ log Xi = 6.27 We have to find the geometric mean.

Q: Log(X^3Y^2Z^7)

A:

Q: d) log, V5 e) log, () f) log, a

A:

Q: If log(x + 8) + log(x – 8) = 1 then The value of æ is

A: This is a basic log question that can be solved with logarithmic property. The product rule of…

Q: If log x y=1/6, which one of the following is true?

A: logxy=1/6 here logxy can be written as logy/logx   now logxy=logy/logx = 1/6   logy = (1/6)logx logy…

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A:

Q: Express log (x²/y°) + 4 log y - 6 log Vxy logarithm. as one

A: Given expression is,  logx2y3+4logy-6logxy. It is simplified as follows: logx2y3+4logy-6logxy Apply…

Q: If log3 (x)=4, log3(y)=-1, and log3(z)=5, what is log3 (xy)? ?

A: Objective of the question find the value of expression with the help of given data.

Q: .If log, [log3 (log2a)] = 1, then x is equal to = ?

A:

Q: Express log (x + 1)³ – 2log (x + 1) + 3 log (x – 1)²– log (x³ – 1) as a single logarithm

A: Logarithmic equation: A logarithmic equation is an equation involving the logarithm of an expression…

Q: Differentiate. y= 11* . log 7x dx (11*. log 7x) =O

A: Given that

Q: Which of these are equivalent to log 1? yz?

A:

Q: log x – 3 log y +;log x – 2 log w

A: Given,log x-3 log y+12log x-2 log w

Q: how is  (a^loga(y))^c the same as y^c? (image)

A: Given that a statement  ac.loga(y)=alogayc=yc Prove the given statement.   The formula used are the…

Q: 'x + 2 3. -dx x + 1

A: To integrate: ∫x+2x+1dx Solution: Evaluating the integral.…

Q: 1 3 log, (x²) + log, vx

A:

Q: Differentiate implicitly to find y' log3 (x). tan cy+ 1) = y2 %3D

A:

Q: If 24 y, is it true that log(24) = log(y)? Justify your answer. NHint: Does log(24)= log(24)?

A: Doing same manipulations on both sides will not make it wrong

Q: Determine y′(x) if y(x)=(4x^3+6)^sinx.  Enter an exact answer in terms of a natural logarithm.

A:

Q: Find the solution set for log3 2+2.log, x=|

A:

Q: If logy =c- log,x, where y> 0 andx > 0, then y is equal to A. c-X В. 3 D. C.

A: To solve the given logarithm

Q: Find dy/dx if y=log(-4x^2+2)

A: To find the dy/dx of the given function.

Q: express the following as a single logarithm ln x+ a ln y - b ln z

A:

Q: 6. If log y-2 and xy-27, find the values of x and y.

A: Given query is to find the value of x and y.

Q: Suppose that at time t 0, 10 thousand people in a city with population 100 thousand people have…

A: In this question, the concept of the logistic equation is applied. The Representation  of Logistic…

Q: If y = loge (2x + 1)'/2 ? and x = 1 y'will be equal to Select one: O a. 1.3

A: The given function is y=loge 2x+112. Obtain the derivative as follows. dydx=ddxloge 2x+112=ddx12loge…

Q: y=10x log10 X differentiate?

A:

Q: log x, (x >

A:

Q: find dy if by using logarithmic

A:

Q: Use logarithms to solve. e2x – ex – 56 = 0 - -

A: Given: e2x-ex-56=0. To find: The solution of given equation.

Q: Suppose log, 3 = 15 and log, 5 = 22, find: %3D a) log. 9 b) loga 75

A:

Q: d -log(z) = dz (Z

A:

Q: log, x + log, y+ 6log, -

A: Using Rule's of Logarithm

Q: Differentiate the following logarithmic functions and show that y=ln(x+5)2≠[ln(x+5)]2

A:

Q: What is the simplified form of 4 * log_3(y) - 6 * log_3(x) + 7 * log_3(z) ?

A: Find the simplified form

Q: Differentiate. y = 10 log 3X %3D d dx (10*. log 3x) =D • log

A:

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: Find Log (x In x) Log (x Log x ) dx if

A:

Q: 7. Find y'. y = log, (9– x-x)

A:

Q: 4 log, x 3 log, Y

A: The given question is from the topic of Logarithm

Q: If log (x + 7) – log, (7x) = 4 then enter your answer for æ as a fraction in its lowest form

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

Q: Differentiate. y = log , (x° + x) d log 4 (x° +x) = [O

A: Given function is: y=log4x8+x As per logarithmic rule: logab=logbloga So: y=logx8+xlog4

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.