9) f(x) = ex log6 X ex x(In 6) A) C) ex (121 X + log6 B) ex x(In 6) + log6 In D) ex 1 = (126 + 1086 x) log6 X x)

Q: Does f(n) Is an element of 2^O(log2(n)) mean that f(n) is an element of O(n)? Why or why not?

A: Big -oh notation : Let us consider two function f  and g  on naturak numbers then f(n)=O(g(n)), if…

Q: の log1ま210g1

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

Q: Question 41 Compute for x: x = [log(base c) a][log (base a) b][log (base b) c A b^(c/a) B C^(a/b)…

A: Change of base Rule : logba = logxalogxb.

Q: (a) log_(2)16=4 can be written in the form 2^(A)=B where A= and B

A: The logarithm expression log216=4. We have to rewrite the expression into exponential form.

Q: Solve the following logarithmic equatio log_(2)(3x-7)+log_(2)(x-4)=3

A: To solve the logarithmic equation log2(3x-7)+log2(x-4)=3 Here we use the properties of log to find…

Q: d) log, (7-3x)=3 e) log, x-log, x+1=-2 f) log, (x+1)+log, (5x-11)=2

A:

Q: For what real value of x, if any, is log_((x-6))(x^(2))=2 ?

A:

Q: 3. a) c) 4. a) Which statement is true of the following logarit Domain: {y ER} Domain: {x> 1}…

A: For a logarithmic function  to be defined  for .The range of a defined logarithmic function is .

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: Factor: x2 + 3x - 18.

A: Here given expression

Q: Which of the following is an equivalent equation to 10* = 430? %3D A) log 430 = x C) log, 10 = 430…

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

Q: 1 prove that there is no branch of the logarithm defined on G =C- {0}

A:

Q: 2. Solve: -) 35x-1 = 74x+1 ) Log(x)=√4Log(x) + 5

A:

Q: Determine if each is correct or incorrect (a) In(2) + In(x) – In(y) = - ---Select--- ✓ (b) 104log(x)…

A:

Q: Exercises/ Find the damain and a function, Vange-ofcach @ fx) = x (2 flx) =

A:

Q: b) 125x+2 = c) 73x+1 = 5.x d) 2(5)* = 3x+1 1-5x

A: To solve the following equations.Note: Since, the student has posted a question with multiple…

Q: [ Зх +1 x – 3 A 3x + log (x- 3) 3x + 10log (x- 3) в Зх + log. (x- 3) +с 3x + 10log (x – 3) + c

A:

Q: For the exponential function f(x)=a^(x), a>0, a!=1, the domain is ____ and the range is _____.…

A: We have to  write the domain and range of the function f(x)=ax, a>0

Q: 3. Use the laws of logs to prove loga 36 +-loga 256-2 loga 48 = - loga 4

A:

Q: Given f^(-1)(x)=log_((1)/(2))x, which of the following represents f(x) ?

A:

Q: 5. Determine if the following are true or false. loga logb _a) log = logx – 3 logy d) log %3D 3 _b)…

A:

Q: Let b be a real number. By considering properties of exponential functions, show that the points…

A: We know, for any real number b > 1,         b0 = 1      => logb(b0) = logb(1)       =>…

Q: elnY e(1.389+0.8LNL +0.6LnK) > Y = el.389 elnLO LnK06 0.8 elnK06 = Y = 4.011L0.8 K 0.6

A: Solution Solution:-Step:1:   Given data is  eLnY=e1.389+0.8 LnL+0.6 LnK To prove  Y=e1.389 eLnL 0.8…

Q: f(x)=log_(5)(1-x^(2)) Write your answer as an interval Domain: (-1,1)

A: fx=log51-x2

Q: log3 [X² 4²³) 7 A) 9 log3 (x) + 8 log3 (y) - log3 (7) C) (9 log3 (x))(8 log3 (y)) - log3 (7) O B) 9…

A: Using Log(xy)=log(x)+log(y) And log(x^a)= a log(x)

Q: Prove that log b (a ^c)=c log b(a)

A:

Q: Draw and precisely write as a set, the 1-sublevel set of e^x and the 0-superlevel set of log(x),…

A:

Q: 6) prove that cost '2 = log (2 + √2²-1).

A: To prove that cosh-1(z) = log(z + sqrt(z2 - 1)), we can start by defining the hyperbolic cosine…

Q: Write the given expression as the sur log_(5)(x^(2)z^(8))

A: Explanation of the answer is as follows

Q: In 2 log2x

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