11. Solve for x given the inequality log3 (2x- 1) > log3 (x + 2) C. (-00,-3) A. (-3, +00) B. (3,+00) D. (-00, 3)

Q: 3. If ƒ(x) = log₂(−(x − 6)) and g(x) = √(x + ²) a) Determine the domain of g(x) + f(x) b) Is there a…

A: We want to find domain of g+f

Q: 4 Vrite the domain in interval notation of log. ( ), where c > 0. 2-3x,

A:

Q: Graph ln x, ln 2x, ln 4x, ln 8x, and ln 16x (as many as you can) together for 0 <x <=10. What…

A: Given,

Q: Show that -b + VE - 4ac log -b - VE - 4ac + log 2a 2a = log e - log a

A: We have to show that,  log-b+b2-4ac2a+log-b-b2-4ac2a=logc-loga

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

A:

Q: 15. Solve for x: log3 x + log3 (x + 6) = 3

A: To find: The value of x. Given: The equation is log3x+log3x+6=3. Formula used: Product rule of…

Q: (b) For what value of x is log₂ (x+1)-log₂ (x-1)=3?

A:

Q: snip

A: To prove,  loga1N=-logaN where, a  and  N are positive real numbers and a≠1. Now, take the left…

Q: 23. Solve for x: a) log, (x- 5) + log,(x - 2) = 2 b) 5*+2 - --2500

A:

Q: 2log(x)-log2(x-3)=2

A: Given: -

Q: Solve the following equation: 2logx - log3 = 2 9√/3.7 O-11√2 10√3 O-10√/3.1

A: We can solve the given function.

Q: 4. Expand into sums and/or differences of logarithms: (a) log, y

A: To expand into sums and /or differences of the given logarithm.logx xyz

Q: - Find the solution set of * 2log2 (x + 8) – log2 (r + 6) = 3

A:

Q: Which of the following is the graph of the piecewise function f (x) - 7 f(x) -2-1 2 1 √-x-1 if XS-1…

A: To plot the piecewise continuous functions: f(x)=-x-1 if x≤-1xx2-x-2 if -1<x<2log2(x-1) if x≥2

Q: 2. The expression log(3 + x) is undefined for what values of x?

A:

Q: (3) Find the domain of f(x) = log(6 + x – x²) (A) (-∞, 3) (B) (-2, 3) (C) (3, ∞) (D) (-∞, -2) U (3,…

A:

Q: 15) Solve for x: log4 x = 4

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

Q: If log3(3x +5) – log3(9x) = 2 then enter your answer for x as a fraction in its lowest form

A:

Q: 25. Solve for x if log 3 x = -2. A. -6 B. -9 C. 6. D. 1

A: If logax = b then, x = ab.

Q: 8. Let a be a positive real number not equal to 1. Determine the solution of the equation log, (2x +…

A: To determine the solution of the given equation.

Q: Which of the following is a graph of f(x) = - log3 z - 3? 6. 5- -6-34-3 -2 -1 6. -2- -7 8- 7- -8-7…

A: Put manually  value of x and find f(x)

Q: 2 log, (x) = 2

A: The given equation is: 2 log4(x) = 2

Q: 1. Solve for the following for x: Log6(x+2) = 2

A: We have to solve

Q: (b).Solve for x: if log, x+3 log, 3=4 27**2 -6x3*3 3" x9**2 3a+3 (c). Show that %3D

A: Solution is below with full explanation.

Q: Find all x- and y-intercepts of graph of y = −3+log2 (x2-x+2)

A:

Q: 2. Solve for x. (Just type the value.) log (25x + 500) = 3 %3D

A: By simply take exponential on both sides we can solve the given problem

Q: Does the function f(x)- logarithm of x with the base of 4 approach a certain real number as the…

A: Consider the given function as fx=log4x.

Q: 25. Solve for x if log 3x = -2. А. 1 В. 1 C. -9 D. -6

A: Our Aim is to solve for x if log3(x)=-2 -(i)

Q: Q1:-genrate and plot the discrete-time exponential Sequance given by x[n]=(0.8)" u(n)

A: To generate and plot the discrete-time exponential sequence given by xn=0.8nun

Q: Evaluate loge 7 by Simpson's (i) rd, and (ii) th rules.

A:

Q: 25. Solve for x if log 3x = -2. A. 1 9. B. -9 С. 1 D. -6

A:

Q: Given the functions f(x) = log₂ (2x) and g(x) = 2x - 3, which of the following statements is true?…

A: Here, the given functions are f(x)=log2(2x) =ln (2x)ln 2(used change of base)& g(x)=2x-3 Here,…

Q: (2) Combine the following into one single logarithm with a coefficient of 1 in front of the entire…

A: 6log4x-5-34logx+log9x-1

Q: d) logr hint: use 2" inequality logx 0 n=1

A:

Q: -5- log6(n) + 12 = 7

A:

Q: Graph ln x, ln 2x, ln 4x, ln 8x, and ln 16x (as many as you can) together for 0 <_x<_  10.…

A: We have to draw the graph of lnx, ln2x, ln8x & ln16x. Drawing the graph of the above function.

Q: 3. Solve forx: log x + log (2x/5) -6

A:

Q: 4. Find the solution set of log3 (2x +6) + log3 (2x-2) = 2. |

A:

Q: Q5: Evalate: 1- Demain of + loga(x - x) 2- Ranga inx 3- Sol GOOD LUCK

A:

Q: 43. Graph f(x) = 4x and g(x) = log4 x in the same rectangular coordinate system. 44. Graph f(x) =…

A: 43) Graph

Q: Solve for x. 3-2 = 15 O x = log153-2 O x = log 15+2 O x = log3 15 +2 x= log3 15 - 2

A:

Q: 5. Find the domain of f(x) = log(x-4)

A: The given function,   f(x)=logx-4

Q: a. Graph Y1 = log |x| and Y, = -log r². How are the graphs related? b. Show algebraically that -log…

A:

Q: 2. What is the extraneous root of 2 log3(x + 4) - log3(-x) = 2?

A:

Q: Solve for xx in terms of k. log3x+log3(x+6)=k x= Find x if k=7

A:

Q: 7. If logab = x³ and log, (÷), determine the value of x by showing all steps in using the…

A: Given logab=x3 and logb4x2 Now, logbc=k. Then, bk=c           . . . (1) Applying this rule here,…

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log5 x…

A: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log5 x…

Q: Q2: Solve the Logarithms Equation. sin log2(3 – X) – logz 1 + log2(x +7) 5-x

A:

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

A: