14. Solve the equation: log3 (x + 1) + log;(2r – 3) = log, 9

Q: 2. Solve the logarithmic equation (g) In r = 1 (h) log3 (20x + 31) = 4 (i) log;(449 – 7x) = 3 |

A: Solve the following

Q: Q5. (Log,3)= a); xin & Cost (1 ²)dt

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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 equation: a) e -3 b) 25* -s 125-S c) log vx – 6 = 1

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

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Q: Solve for x.    (a) x2 − x = log5 25     (b) 3x + 5 = log2 64

A: Given:x2-x=log525 & 3x+5=log264To determine:Solution of given equations

Q: 2. Solve for x. a. log, 81 = 4 b. logs x = 3 C. logs 125 = x d. log, 10 = 4

A: Using logrithim  properties

Q: solve for the unknown. log3 y + 3 log3(y2) = 14

A: We have to solve the equation: log3y+3 log3y2=14 We know the properties of logarithm, m…

Q: Q2: Solve the Logarithms Equation. n = 3 logtan nx (2 + 4 cos?nx) = 2

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

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Q: 1) Solve for x and y in the following simultaneous equations *a) log, x = 2; 5y= x +12 log, y *b)…

A: We have to solve for x and y in the following simultaneous equations.

Q: Solve the following equation for x. log2 (9x+6)=2+log2(x+3)

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Q: a) Solve the following simultaneous equations: 3* 1 27y log5 x + log5 y = 2

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Q: 3. Solve the following equations for x: (a) 3*4*+2 = 8 (d) log₂x = 2 (b) 3 lnx + 2 ln x² = 6 (e)…

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Q: Solve the following equation for x. log2(9x + 6) = 3 + log2(x + 3)

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

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Q: 15. Solve the equation. Check for extraneous solutions. log,(4x+ 1) = log,(2x+ 7) !!

A: The equation is given by log54x+1 = log52x+7 To evaluate: The solution of the equation.

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: 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: Find the solution for x: log (vz+1+1) log Vz- 40

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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: 5. (a) Solve for x, if log1o(10x + 20)- log10(2x-6) = 1 (b) Given that log10 7 = 1.473, find without…

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

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Q: Solve for r: log(z + 4) – log(z+3) = 1 You may enter the exact value or round to 4 decimal places

A: Since the question has multiple questions but according to guidelines we will solve the first…

Q: a) Solve the following equations: i) 3* . 42r+1 = 6*+2. ii) 2 log,(VT) – log,(6x – 1) = 0.

A: '' Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: solve the following equation log2 (5Vx – 5) + log2(v – 1) = 3

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Q: 16. Solve the equation n 2 AE log, Vx+4 – log, 2x-1=- 4

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Q: 9) Solve for x and y in the following pair of simultaneous equations log (x+ y) = %3; 2 log x = log…

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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: loga (M/N ) = _________ - ____________ .

A: We know Division property of logarithm is, when we divide two values with same base, we subtract the…

Q: 7)Solve for x when log 10x - 2 = log 400 a) 40 b) 400 c) 4000 d) 40000

A: given  log1010x-2=log10400 log1010x=log10400+2log1010x=log10400+log10102…

Q: Solve for the unknown. log3 y + 3 log3(y2) = 14

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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: 7. Solve each equation for y. [Leave final answers in a simplified exact form or an approximate…

A: Given, (a)  ln4y +5  = lny-1  (b) 5-3log4x-3 = -4 We have to solve the equations

Q: Q3 Solve for x log, (x+4)- log, (x-2) log, (4x) a. b. 5-2 33r+2 By using Natural Logarithm (In).

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

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Q: 9. Solve the following simultaneous equations: logx+log(y²)=4 log²x-3log(xy)=-5 Where x,y are real…

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Q: 2. Solve for x, to one decimal place. (b) 7* = 35 %3D (a) log, 56 = x

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

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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: (a) Solve the logistic equation y' = 0.27 - 0.005y2 , y(0) = 50. (b) What is the limiting value yL.…

A: For (a),  Note: We are taking y' = 0.2y - 0.005y2 , y(0) = 50 as the logistic equation is of the…

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: 16.Solve for x: log, (2x+ 4) – log, (x-7) - 3 Find the equation with following roos : 17. a) – 2±5/2

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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

A: