Differentiate y = log 10 (x² + 1)² A. 4x (x²+1) B. 4xlog₁0 x² +1 log e(x)(x + 1) D. 2x(x + 1) C. Differentiate (x² + 2)¹/2 A. B. (x²+2)² 2 x (x²+2)ž 2x 1 (x²+2)2 D. (x² + 2)²

Q: (b) If 2log 5+log 4 = 2, find a.

A: The given equation is: 2loga5+loga4=2   As we know the logarithmic properties; 1). logaxb=a·logab…

Q: Compute the following: (a) (1+ V3 i)12 write answer in the form x + iy. (b) e³+ri write the answer…

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Q: x+y =(x+y-1)+. dx log (x+y)

A:

Q: 2: Evaluate : |x log(1+x) dx

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Q: 3x (37) 2y (d) In (e) log₂ (x³) (f) In (2x³e4)

A: Expanding given terms.

Q: alog (6x+)-Log 2-L0g, (3x+2)=2

A:

Q: 5. Solve for x without using a calculator: log. (x) + log,(x – 16) = 2

A: The answer is found in step-2

Q: The derivate of y = 4 logx? – 5*² is | 8. 8. (2x) 5* In 5 5 x² In 10 x In 10

A: Derivative of the function

Q: 2 log(3n + 4) + 5 = 9

A: Given:

Q: Calculate by means of the logarithm: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4) c)…

A: We  have to calculate this equation by means of logarithm.Note: According to the guidelines we are…

Q: Which of the following is a solution of the equation 11 · 4* = 7 · 5*? Select one: a. x = 11/7 b. x…

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Q: log(4)+2log(x)=3

A:

Q: 4. Solve for x log (35-x³) log (5-x) = 3

A: Given log35-x3log5-x = 3

Q: log (x2) - log(v9) + log(z4) condensed into a single logarithm is expressed as log() Select one: O…

A: Expression is given by logx2 - logy + logz4 To evaluate : Single logarithmic expression.

Q: 7. Solve for x using log properties: log(5x) – log(x² - 2) = 1 |

A:

Q: (b).Solve for x: if log, x+3 log, 3=4 27**2 -6x3*3 3" x9**2 3a+3 (c). Show that %3D

A: Solution is below with full explanation.

Q: Vlog2(x - 8) + log2(x + 8) = 64 %3D

A:

Q: Let f(x) = 4log2(x - 3). Shown below are the steps to finding f 1(x). Write the justification for…

A: Describe the each steps as given in steps to find inverse.

Q: Solve the following log equations for x:

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

A: The objective is to solve.

Q: log₂ (4x + 6) = 3, then x =

A: We will find the required.

Q: A3. (a) (i) Express 2ln x – ln √x as a single log in its simplest form.[

A:

Q: Find the value OF the Modulus oF Z in z=(2-1)(5+j12) 3.

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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: find log(z) where z=-1-3i.

A: Given:      z=−1−3i

Q: Solve for x:logs (2x + 2) - log5 (x + 1) = log5 (x-1)

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Q: Solve. a) log(x+ 3) + log(x – 2) = log(3x+2) b) 6**3 - 6* = 215 %3D

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