i. log2(x – 2) – log2(x + 2)² + log2(x² + 10x + 16) 5x log4() – 32 logs vã + eln4x ii.

Q: 8. evaluate N = (3+ 4i)(3+4) 9. evaluate N = log2 (-1+ i)

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Q: The graph of a logarithmic function is given.Match each graph to one of the following function

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Q: 4x (log3 x)° (csc5 x) Vsinh(2x – 8) b. y= -

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Q: Find the value of x 1) log2(3x+15) = log224 2) log2(2x +1) < 3

A: The objective of the question is find the value of "x" in the given equations.

Q: 4e3x+3-7=53

A: Hi! You have posted multiple questions. So, we will be solving only the first question as nothing is…

Q: given log10 x = 2 and log10 y = -1. show that xy-100y2 = 9

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Q: 7. f(x) = 6e* + log2(7x² + 3x + 1) f'(x) =

A: Given: fx=6ex+log27x2+3x+1 Differentiating fx with respect to x, f'x=ddx6ex+log27x2+3x+1…

Q: 3x = 76x-5 d. log2(x+30) + log2x = 6 e. 2x^2 = 162x-3

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Q: b) f(x) = -log2(2x + 3) – 3

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Q: ii) 2 log, (x)– log2 (3x – 4) = log, (x – 1) – 1

A: We make the coefficient 2, exponent inside the log.  And for 1 we replace it by log22 because…

Q: 4.y=log10 (x4 + 3x² + 1) 5.y = log5 √x² +1 1-x² 6.y-log10 |2–5x3

A: Given 4. y=log10x4+3x2+1 5. y=log5x2+1 6. y=log101-x22-5x3         Derivative of the log functions…

Q: log10y+3log102=5 express y in terms of x

A: Consider the expression  log10y+3log102=5

Q: Solve the equation without using a calculator.

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

Q: 9⋅7x=3.5e^(2x) Find x using natural log

A: Given exponential equation is:Solve for x using natural log.

Q: If log3 (5) = 3y, log; m² = 6 and 2 log; (4) = 4x then what expression (in terms of x and y) is log3…

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Q: [ Зх +1 x – 3 A 3x + log (x- 3) 3x + 10log (x- 3) в Зх + log. (x- 3) +с 3x + 10log (x – 3) + c

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Q: 4. Determine the co-ordinates of the point of intersection of the graphs of f(x) = 5(3*) %3D log a…

A: The given curves are  f(x) = 5.3x f(x) = 7.2x

Q: x² 6 + ,X log (x² + 7)(x³ – 5)² -

A: Laws of Logarithm:

Q: The solution(s) of log3(-x) + log3(-3x – 6) = x - log3(3")+2 is (are) z = Select one: Оа-3,1 Ob. 3…

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Q: 3) In x-log x = 1. Answer should be in the natural exponential form. %3D

A: This is complicated and lengthy problem, so I can do it in Advanced Mathematics.

Q: C. log2(x + 5) = 2 – log2(x + 8) d. 139x = 16r-9 %3D

A: Here student ask only c and d part

Q: Q3\ Solve for x: a. log(20x + 1) – log(x – 2) = 2 b. In(x - 2) + 2 in Vx+ 3 In6 %3D

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Q: 3. Express as a single logarithm: 3 log 2 + log x - log (4x) log(8x) A. log(4x) В. log (2) C. log…

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Q: (d) log(3x) + log 3 = 2 (e) Log2 x + log4 x = 3 (f) In(x2 - 8) = 0

A: Logarithmic properties

Q: Solve for x in terms of k. log; a – log3 (x + 9) = log3 k. %3D - x = 1 Find æ if k = 3

A: Use property of logarithms to solve

Q: log2(x+1)-log2(2-x)=3

A: Given that:   log2(x+1)-log2(2-x)=3NOTE:  First expression has two values.So need to be corrected.

Q: Solve for x. (a) In (x – 3) = 7 (b) In (x + 4) + In (x - 4) = 1 (c) log gx² - log ,2x = 3

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Q: 19. If log,2 = x and log34 =y, then log372, in terms of x and y, is equal to O 2x +2y O 9x +9y O 9xy…

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Q: 2. Solve for x. 45x-x² = 4-6 a. b. (1 − x)5 = (2x − 1)5 - 60 c. 55 = 1+5e-0.6x d. 3 log x + 10 =…

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Q: 3.) y = log, - 6·x³ -6.x³ y' = %3D

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Q: 3. 2 log x< log (2x-1)

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Q: 7. Differentiate y = log10 (x² + 1)² b. 4xlog10e x²+1 a. 4x(x² + 1) c. log e(x) (x² + 1) d. 2x(x² +…

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

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Q: 4log 3 - 3 log 3 =

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Q: Q3. (i) Solve for x: a. 32x = 22x-4 b. Vlog2(x – 8) + log2(x + 8) = 64 %3D

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Given that: log2 x + 2 log4 y = 4. Show that xy=16.

A: Property 1: loganx=1nlogax, n≠0,x&gt;0 Property 2: logax+logay=logaxy Property 3: logax=b⇒x=ab

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: 7 7 = 0 4 1 + log2 (x – + 2x 4

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Q: x- log, (x – 6) = log , 9 4) log, (x– 10) + log, 4 = 3 %3D g7 g, (x + 3) – log, x = 1 6) log, 8 +…

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Q: 5. y = log(7x + 3). 4²x¹+8

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Q: I .   Solve for  x:     log 10  ( x   +  6  ) +   log10 ( x  -  6 ) =   2…

A: We have to solve for x: log10(x+6)+log10(x-6)=2and  12loga(x+2)+12loga(x-2)=23loga27

Q: The number of positive integers satisfying x + log10 (2* + 1) x log105 + logi06 is ..

A: Introduction :

Q: 25) if: 4 log10 x - iog16 y = log10 13, then B. 4 = 13y A. 4x = 13y C. x*y = 13 D. x* = 13y

A: hi, i am solving question 25 for other question please repost.

Q: Solve for x in terms of k. log4x−log4(x+6)=log4k A) x= B)Find x if k=1/8

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Q: 4 Given that log 20.571, log 4≈ 1.141, and log 6≈ 1.476, find log n 4 log nr (Type an integer or a…

A: This question is from logarithm and its property

Q: log (3x +4) = log (5x-7) %3D x=2 x=11 x=2/11 x=11/2

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Q: 2 log (5x)-3=1

A: We have to solve the logarithmic equation, 2 log5x-3=1 We know properties of logarithmic, m…