In Exercises 11-18, solve each equation. 11. 3-2 = 9r+4 12. 5* = 1.4 13. 400e005x = 1600 14. e - 6e + 5 = 0 15. log,(4x – 1) = 3 16. 2 In(3x) = 8 17. log x + log(x + 15) = 2 18. In(x - 4) – In(x + 1) = In 6

Q: Solve: (a) iog3(4x-7)=2 (b) logx 64 = 2

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Q: 2. Simplify and solve log5 V9.

A: Given that: log59

Q: IV. Solve the following equations. 9. 8. 14-2x-5 + 2 = 34 10. log, (6 – 4n) = log6(3 – n) - 1+x 11.…

A: As per bartleby expert policy only first individual question is to be answered. Kindly repost…

Q: 5. Solve for x using log properties: log3 (x) + log3(2x – 3) = 2 |

A: Consider the given logarithmic equation, log3x+log32x-3=2 use the logarithmic property,…

Q: For Exercises 27-36, solve the equation. Write the solution set with exact values and give…

A: Our Aim is to solve the expression given below:-25y+1=4y-3 -(i)

Q: In Exercises 1-8, solve each equation or inequality. 1. |3x – 4| = 2 %3D 2. x + 2x + 5 = 0 3. x* + x…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: (ii) log,(x+3)=1–log,(x-1)

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Q: 7. Without using technology, solve the equation: log(x + 10) – log(x - 5) = 2 %3D

A: The given equation is: log (x+10)-log(x-5)=2

Q: Solve algebraically.  a. 32x+1 - 10 • 3x + 3 = 0  b. (log8x)2  + log8(x2) = 8

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Q: Solve for x.    log6(x2 + 8) = log6(9x)

A: By using logarithmic property, we calculate the value of 'x'.

Q: 4log 3 - log 33 =

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

Q: 15. Solve log5(5 – 3x) – 2log;(7 + x) = 1

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Q: In Exercises 93-102, solve each equation. 93. 52. 54r = 125 94. 3+2.3 = 81 95. 2|ln x| – 6 = 0 97.…

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Q: TWO quantities M and N are defined via logarithms as log M = 2, log N = 5 EXPLAIN why N is greater…

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Q: 3. Log-linearize the equation, x, +a = (1-b)

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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: An exponential function in the form y = 2401(b)* contains the point (4, 1). What is the value of b?

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Q: 6. Solve the logarithmic equations below: log3 (p – 2) + 9 = 12 b. - 3log4 (2p + 3) – 1 =- 4 а.

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Q: Solve e-3x = 2 using the natural logarithm function.

A: Given equation - e-3x = 2Taking ln on both sides - lne-3x = ln2-3xlne = ln2…

Q: 15. Solve log5(5 – 3x) - 2log5(7 + x) = 1 %3D

A: We can find the answer as below

Q: The homework question asks to Solve the logarithmic equation algebraically, which im having…

A: Solving the logarithmic equation algebraically:log2(x+20)- log2(x+2) = log2 (x+2) = log2 xAccording…

Q: 4. (a) Use logarithm properties to expand In ( (@+5)(x – 6)² (x+ 3)3). (b) Rewrite log3(x) + log3 (y…

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Q: Solve. 5) log4 (9x - 7) = 1 5)

A: logb (x)=y exactly if  by =x and x>0  b >0

Q: 13 Solve 2 log₂ (x + 4) - log₂ (2x + = 1 2

A: we have to solve for x.

Q: Determine whether the equation log4(2x3) = 3 log4(2x) is true or false. Where possible, show work to…

A: Given equation - log42x3 = 3log42xTo identify whether the equation holds true or not, let's solve…

Q: 10. Solve 3log x= log 512-log 8

A: To slove 3logx=log512-log8

Q: #12. SOLVE THE EQUATION а. log (x²) = (log x)² 1 or 100 b. log Vr – 9 = 2 V 10,009 С. log (x³) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 9. Solve. log,(x- 3)+ log,(x+ 4) = 3

A: The objective is to solve.

Q: 13. If log 2 = 2.41 and log 6 = 6.23, find the value of: log,() 12 13а Enter your next step here

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Q: Find all positive values of 'a' for which the equation log (ax) = 2 log (x + 1) has the unique root.

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Q: 5log(8)-1 log(x)

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Q: 7) Propose an equation similar to log 4 + log x = log 27 whose solution is 9 %3D

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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: 4log 3 - 3 log 3 =

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Q: Express log(x²-x-12) - log(x² - 7x + 12) as a single logarithm. State any restrictions on the…

A: Given : expression  logx2-x-12-logx2-7x-12 Prerequisite : Here we use the formula log a - log b =log…

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

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Q: 9. Express equivalent expression: log(x – 3) – log() + log 4 as an x+3

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Q: 4) Use the Laws of Logarithms to expand the expression as much as possible. Vx +5 In (2x²/y/

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Q: 7. Solve. log, (x-6)+ log, (x-5)=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: 6. Use log, 10 3.322 and log 8s 0.903 to approximate the value of the expression. log, 100

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Q: 6. Expand the expression 2x+3 log (x+4)°(x- 3)*

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Q: Solve the equation and choose the exact solution. -3. 44z+10 - 8 = -51 43 - 10+log2 3 = x 4 O= log,…

A: Given equation: -3·44x+10-8=-51 To determine: The vlaue of x.

Q: Which statement is true? 4 is a solution of 25x +3 > 73- O 4 is a solution of logx + 2 < 2. O The…

A: We have to check

Q: 2. Can log:(-4) be solved? If yes,

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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: 13 1. Solve 2 log, (x + 4) – log2 ( 2.x + 2 = 1 -

A: Given,2log2x+4-log22x+132=1 Used Properties: 1. logaxy=ylogax                            Power…