1. Solve by using your calculator. log, (-3+2x)+log, (x +1) = log, 9² Round to nearest two decimal places. HINT: May need to use change of base formula here. Again, cannot solve by using algebraic techniques!

Q: Solve the following equation: log7(3x) = log7 3 + log7(6x – 1). X =

A: Answer and explanation is given below

Q: Solve for x. 0=log (base 5)x

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Q: Solve the following: 1. 2x/2-16=1/32 2. log8 (x-2) + (log8(x)=1

A: Explanation of the answer is as follows

Q: Solve the following equation: 7(log; (t)) = log; (t21) Write your answers as decimals rounded to…

A: Answer

Q: Solve the following equations. 7+2 ln x = 6 log, (x+1) = 2 log, (2x – 3) = 3 4 In(3.x) = 8

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Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log„1121 b.…

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Q: 4. Find x if the base 3 log of (2x+3) is equal to 4. 30.5 81 O39

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

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Q: Solve the following equation 2log4 (4x) = log4 (14 x2 + 98) X=5 X=7 X=14 X=2

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

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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: 7. If (0.2)* = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:

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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: 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: 1. Using proper mathematical terminology and different reasoning, explain why there are no solutions…

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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: 17. Without using a calculator, solve each of the following: |4*+3 V 16* log, (x+3)+ log, (x-3)=2 b.…

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

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Q: Disprove the statement log(x + y) = log x + log y by, a) Letting y equal a positive constant of your…

A: Given  The statement log(x + y) = log x + log y

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

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Q: Solve the following logarithm problem for the positive solution for x. 1 log, x = 2

A: Given, log4x=-12

Q: 4. Solve the following using logarithms. a) log x + log(x - 1) = log 2 b) log 40 - log10 = logx

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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: Solve graphically with your calculator. Round answers to 2 decimal places. а.) 4* = VE b.) log r =…

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Q: Solve the following equations: 2 x³ = 49 3*.27*=9 √5*=25(x-1) d. b. log₂ (6x-4)=-1 28=2(5*)

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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: 12. Solve the following equation * 3 poin log, x + log, (x -9)= 2 O 12 О 3, 12 О з 8. O -8 O -2, 8 O…

A: We use the formula logam + logan = loga(mn) logab = c    →  b = ac

Q: Please use the Problem & SoLution organizer to solve the properties of lLogarithms to condense the…

A: log3u-5log3v              =log3u-log3v5                   By Power Rule     ⇒w logb…

Q: Solve the following equation 2log4 (4x) = log4 (14x2+ 98) X=5 X=14 X=7 X=2

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

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Q: 11. What are the approximate solutions to log(4x − 1) - x≈ 2.95, x≈ 2.00 x≈ 1.75, x≈ 24.83 Ox0.25, x…

A:

Q: 9

A: We need to solve

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: 1. Solve by using your calculator. log, (-3+2x)+log; (x+1) = log, 9² Round to nearest two decimal…

A:

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: solve the following  i).  2x/2-16 = 1/3   II). log8 (x-2) + log8 (x)=1

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Q: 17. When solving log(4x+5)-2log5=3 , which of the following equations will result? (A) 100x+125 =…

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Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

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Q: Solve the following logarithmic inequalities. 1. log5x 2 3. log273 > x 4. log2(5x + 7) > 5 5.…

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Q: Solve for z: log(z + 5) – log(z + 3) = 2 You may enter the exact value or round to 4 decimal places.

A: The equation to be solved is logx+5-logx+3=2   The properties of logarithm to be used are as…

Q: solve the following equation 2log4(2x)=log4(x^2+75)

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Q: 11. Solve the equation logs (3x + 9) = log5(5x – 3)?

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Q: 8. Solve. Give EXACT answers only- (a) e**1 = ! %3D (b) 3log2(x – 1) = 5 – log24

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Q: solve the following 1) 42x-1 =64 2) In 3 - In x - In (x + 5)=0 3) log4 (x + 2) - log4 ( x - 1)=1

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Q: Not sure how to solve this.solve for x.77=13^xx = ?------First, take the log of both sides of the…

A: Formula used:1) logan = nloga

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

A:

Q: 4. Solve for x , show all work and round off to three decimal places if necessary. a) log 83 = x b)…

A: b) The given equation is log3y=1.69 Use the base theorem, logab=ln bln a. 1.69=ln yln 3ln y=1.69· ln…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.