2. Find the solution set of the following: (b) logg(x + 1) – logg x = logg 4

Q: Solve the following equations a) 3(2***)-1= 8 b) logg(x +3) =1- log,(x+ 4) c) 7*-4 +3 = 9 d) In(x–…

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Q: (a) Solve the following: (i)  2x-6=1/8              (ii) log5 (x + 3) = 1 - log5 (x -1)

A: We will solve the equation for x.  (i) 2x-6=18(ii) log5(x+3)=1-log5(x-1)

Q: Solve the following: 2x-6 = 1            8   log5 (x+3)=1-log5 (x-1)

A: Using definition & rules of logarithm.

Q: Solve the following equations for x (a) 31-x - 92x (b) log2(z – 2) + logą z = 3

A: On solving the first

Q: 1. Solve the following equations a. 4x + 3 = 210 b. 7x - 1 = 3 c. log(8x -15) - log3 = log(2x +…

A: Part a,Given,          4x+3=210

Q: a. Find the solution set for log3 2+2.log, x = log3(7x-3)

A: As per our guidelines we are supposed to answer only one question.* *Kindly repost other question as…

Q: Solve for x, and show all the steps: logg x + log:(x – 12) = 2 %3D

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Q: (1) Solve the following: 1 (i) 2*/2-16 32 (ii) log, (x-2)+ log, (x) = 1 %D

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Q: Solve the following: 1 (ii) log, (x+3) =1-log,(x-1) r-6 (i) 2" 8.

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Q: Solve the following: (i) 2ᵡ-⁶ = ⅛   (ii)  log₅ (x + 3) =1− log₅ (x -1)

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Q: 4. Solve the following equations. Round answers to two decimal places. vv & vrrv a) log, (2x – 1) –…

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Q: Solve for t. log 6 t= 2

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

Q: consider the equations g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of…

A: Given that g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of g(x)=h(x)?

Q: 1) Solve for b. Express the result as a reduced fraction. 1 log, 4 3

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

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Q: Hw/ Selve: O log(x)+log (a-) = log (8K-1a)-legL2) Anyx,3 An s/K=3

A: Here we have to solve ,  a) log(x)+log(x-1)=log(8x-12)-log(2)b) 2ln(x)=ln(3)+ln(6-x)

Q: 4. Find all the values of z for which each equation holds. (a) Log(z – 1) = -i. (b) exp(z+1) =…

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Q: a2// A Solve for x Logox + Log1ox = 30 B- E Recognize if the functions are even or odd:

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Q: Find the values b >1 for which the equatiom log, r = xmb has a unique solution.

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Q: Solve for r: log(z) + log(z + 4) = 5

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Q: b. (3.4)' log(14) + v287

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Q: Find graphically approximate value of the root of the equation an 3 – x = e* - 1.

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Q: A Solve the following (i) 4+e2x = 12 %3D (ii) 3 log (x+4) = -2.2

A: The given equations are I) 4 + e2x =12 II) 3 log(x +4) = - 2.2

Q: D) log3 (x² – 5) = 2

A: To solve the equation for all real values of x log3(x2-5)=2

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

A: We have to solve

Q: 8. Without solving the equation, state the restrictions on the variable x in the following: log(2x -…

A: .

Q: Q2: B. Solve the following equation and find x ? log4(2x + 6) – log4(x – 1) = 1

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Q: Solve for æ in terms of k. log, x + log; (x + 10) = k. Find æ if k = 3.

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Q: Given z=(3+2i), solve e^logz

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Q: (c) Solve for x given 1≤log, (x-6) ≤3.

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Q: Solve the following: a) logx+2(N+50) = 5 b) 3ex = N + 30 %3D

A: Given that: (a) logx+2(N+50)=5(b)3.ex=N+30

Q: d) log2 (2x2 – 5) = 3.65

A: To Solve the equation for all real values of x Given the equation  log22x2-5 = 3.65

Q: How large does x have to be, so that e^(-x/10)<0.1?

A: We need to find the values of x for which the following inequality holds good.

Q: Solve the equation for x value :- In e + 4-2log4x log5 25

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Q: 6) Solve the following and round to the nearest thousandth. a) log x + log(x – 15) = 2 b) logo(x +…

A: (a) Given: logx+logx-15=2

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: 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: 4. State the restrictions and solve: log2 (x2 + 6) = 1+ log2(2x + 1)

A: Given: log2x2+6=1+log22x+1 To solve the given expression simplify to obtain the value of x.

Q: 2. Compute for the value of x in a given logarithmic inequalities loga(x+1) > log:(x2). a. x > ½ b.…

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Q: Discuss how you would state the restrictions of the following function, solve the restrictions, and…

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Q: (a) Solve the following: -1 (i) 2*-6 8 (ii) log, (x+3) = 1– log, (x-1)

A: An equation is a formula that provides the equality of two expressions, by connecting them with the…

Q: 14. Solve the following equations and inequalities. a) b). c) (1 : ¹+x= 27√√3 (2sinx+√3)(√2cosx - 1)…

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Q: (b) Find the value of x: log ; x - log ; Vx = log 9- log ; 3

A: Basic concepts: remember these properties:

Q: Solve the following equations: a) logp + log(p – 7) = log(p – 15) b) log, k – 3 = - log2(k + 7)

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Q: 2. Solve the following equation for r. log2(2.r + 3) – logz(r + 4) = 2

A: Use the properties of logarithm to solve this problem.

Q: 11. 5+ log, (n + 1) = 8

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Q: Solve the following equations: (a) log x 2 = log(x + 4) (b) 4 3x−1 = 72x+3

A: (a) We have to solve logx2=logx+4 Use logarithmic property logm=logn⇒m=n Hence,…

Q: Solve the following equation for x. log(4x+170) = 2

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Q: 9. Solve for x in the equation log, e+ Inx = 4. A) x = 2+ /3 B) x= 3+ /2 C) x=3± /3 D) x= 4+ /3

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