3 log z – 4 log(z² + 1) + 4 log(z – 1) as a single logarithm log A. Then the function dote: "log" is not part of your answer.

Q: (ii).Given that log, (y-1)+log, = z and log, (y+1)+log, x= z – 1, Show that y = 1+8° and find the…

A: Given: log4y-1+log4x2=zlog2y+1-log2x=z-1 . . . . . (equation 2) Concept: Here we shall use the…

Q: |Example 6.12. Prove with the usual notations, that (i) hD = log (1 + A) = - log (1- V) = siiih- (E)…

A: Please find step by step solution below:

Q: Condense each logarithmic expression.

A: We have to condense the following logarithmic expressions -  (a) 12log x + 3 log(x+1)⇒ log(x)12 +…

Q: (-1. 1) (3. 1) (1. 0) y= log,) What is the equation of s)? A. log : (x+4) C. log : (x) +4 B. log :…

A:

Q: 6. Which of the following is equivalent to 12* =c-4? A. log 12 =c-4 B. log-4) 12 =x C. log,(c-4) x…

A:

Q: 4. Find the value of x in each of the following (convert to exponential form to help!). a) logX = 2…

A: Note:  Hello User, as per company policy we should answer only for first three subparts of the…

Q: 1. Given y log, 16. The value of y= 2. If log(x + 3) = 2, then the value of x is

A:

Q: f(x) = 3 log(x) f(x) = 3 log(x) 1 103 1 102 1 10 1 10 102 y y 4 40 60 80 100 20 40 60 80 -2 -4 -4 y…

A: Given query is to sketch the graph.

Q: The value of c which satisfy the conclusion of Rolle's Theorem for f)= log(x²+1)-log(2) on [-1,1]is:…

A:

Q: 2. The function f(x) = log, x is the logarithm function %3D So f(9) = -- f()- with base %3D f(1) =…

A:

Q: 16 Given log 4 1.262 and log, 7 1.771. what is the value of log3 () Enter your answer in the box. 16…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: The amount of time T (in years) it will take for a population of a certain species to grow from 1550…

A:

Q: Find the value of the base b so that the graph of f(x) = log,(x) contains the given point. %3D…

A: The point (1/625 , 4) is on the graph. So x= 1/625 and f(x)=4

Q: A relationship between (y – 2) and (x- 1)is given by (y – 2) = a b(x-1). With a suitable lincar…

A: relationship between (y-2) and (x-1) is (y-2) = ab(x-1) So we will find the solution using logarithm…

Q: 4 Given that log m2 ≈ 0.59, log m4≈ 1.18, and log m6~1.525, find log m 4 log m (Type an integer or a…

A: Explanation of the answer is as follows

Q: 1. Find the function of the form y = log,(x) whose graph is given. y = y 1.5 (5, 1) 1.0 0.5 5 6 -0,5…

A:

Q: 0:A-If y = 2cc (20) and x = etot(20), Prove that: - (answer one only) dy *- (In2).. log, x %3D dr B-…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: (-1,}). Find a formula for the exponential function passing through the points and (1,20) f(z) =…

A:

Q: 1. Find the value of y. a. log;25 y b. logy32 = 5 c. log,y

A:

Q: 4. g(x) = 4x³ log, X 5. f(x) = 10* · e* 2x-x2 logze e²10* c. e*10* + loge e*(x-3) x²-4x+4 e. 4x²(3…

A: "Since you have posted a two questions, we will solve first question for you. To get another…

Q: A linear relationship between the logarithms of the variable x and y which are connected by the…

A: We Know that Logarithmic Rule, log(ab) =log(a) +log(b) log(an) =nlog(a) By using above rule we find…

Q: (b) Show that u(2) = log log (1 + la|") belongs to W12(U) but does not belong to L (U).

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

Q: 7. Determine the general value of the following: a. In (3+j5)i b. log(-5) (6+ j4)(l+/2) С.

A:

Q: 1 (a) log16 2 = 4' That is, write your answer in the form A" = C. Then А |, B = and C 1 (b) log, 16…

A:

Q: 4 Given that log m3 ~ 0.945, log m4≈ 1.192, and log m7≈ 1.674, find log mm log m (Type an integer or…

A:

Q: 1. x=log1031,500, Select all that apply and justify your selection. Which are true of а. х4 d. x5

A:

Q: 2. Find an exponential function f(r) = b such that the graph of passes through (-1, e)

A: Given: f(x)=bx and the graph of f passes through -1,e2.

Q: . z² + 3z = log(-3), Calculate the value/s of z

A:

Q: given that ln 2 = x, ln 3 = y, and ln 5 = z, express each of the given logarithmic values in terms…

A: Given:   ln 2=x , ln 3=y, ln 5=z   To find:   The logarithmic values in ln 30 in terms of x, y, z…

Q: Determine whether the following statements are true and give an explanation or counterexample.

A: Given information:

Q: 7) y= log, x+ 9 8) y= log, x

A:

Q: x-1 X-n x+n If y = x log show that y, =(- 1)" - 2 (n – 2) ! %3D x+1 (x - 1)" (x + 1)"

A:

Q: Find the value/s of x in the following equations/inequalities. 1. log3 (x+ 4) = log3(2x – 4) 2.…

A: We can answer question no 3 and 4 as below

Q: 2 Jlgull %3D ealog (z) e log (e) e log(a) e-log (a)

A: Given complex function is, fz=za. Let, za=z1. Taking log on both side, logza=logz1 Since it is…

Q: Given that log a 2, logy 3 and log z = 4 find log () %3D %3D O 13 8. 7 O11

A: given: we have to find the value of .

Q: Find the exponential function f(x) points (0, 3) and (2, 12). Ca" whose graph goes through the a = C…

A: We will put the coordinates in the function and find the required values.

Q: 5. If log 0.3 (x-1) < log 0.09 (x-1), then x lies in the interval c. -2 <x<-1 d. 1<x< 2 a. 2<x < b.…

A: If log0.3(x-1)&lt;log0.09(x-1)

Q: 1. 8. Use log, 100 s 2.214 and log * -1.176 to approximate the value of the expression. 15 log 15 i…

A: Given query is to find the value of log15.

Q: T + log, (V2" . 2™ sin 24-1 (-1)5 + (–1)27 (-1)766 3 25 – 24 – 23 + log, (log3(915) + 71+(-1)17 + 1)…

A: Find the values of each terms one by one.  Since loga ar=r, sinπ+log2 2π·2π25-24-23=sinπ+log2 2π8…

Q: Find a formula for the exponential function of the form A=f(t)=IB^t passing through the points (2.5,…

A: Just satisfy the given both points in the function and find the unknown.

Q: (a) f(t) = In(5t - 4) 12 (b) g(x) = log(x² - 25)

A:

Q: The domain of f(x)= log4(1 – I2) is Select one: O a. ( -1,1) O b[ =1,1] O c. (0, 00) O d. [1, 00)

A: In the question it is asked to calculate the domain of f(x)=log4(1-x2).

Q: 1. Given y= log 256. The value of y=

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 4 Given that log 20.571, log 4≈ 1.141, and log 6≈ 1.476, find log n 4 log nr (Type an integer or a…

A: This question is from logarithm and its property

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A: The logistic equation is given as dNdt=Na-bN and its solution is given as N(t)=aN0bN0+a-bN0e-at…

Q: 7. y" - 2ry + (log z)y -0, y(1) - 0, (1) = }, k - 5. 7. y - (z- 1)+1(z- 1)2+(z- 1) -- 1)+(-1)- 0<=<…

A: Suppose y(x) is a solution of the given differential equation. Its Taylor series about x = 1 is

Q: 3. Which of the following is equivalent to log *? (1) log x– log y (3) 3log x--logy (2) 9log(x-y)…

A:

Q: T + log, (V27 - 2") sin 24-1 + log, (log; (915) + п1+(-1)17 + 1) + (-1)5 + (-1)27 (-1)766 25 – 24 –…

A: