Simplify the following system, then find (x,y,z) the by using invers method. log,(x)' – ex + 2cos2z + lne-3 = 0 In e +- 6sin²z = -log, ÷) e2x + 2 log 109 + 3 = - /1- sin²(2z)

Q: Find the inverse of the function. y = 5x +7 A) y= log5 (x-7) B) y= log6-2x C) y= log22x D) y =…

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Q: Write the expression x- y log7 49z in terms of A = log, x B = log, y %3D and C = log, z

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Q: Show that, log5 x can be expressed as 2 log, x, where b> 0.

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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)

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Q: Evaluate (a) log(2-j3)(6(sin(√ī})² (b) 11/2

A: Given:  log2-j36sinj2 jjj2 To find: We have to evaluate the given expressions.

Q: 08(3-j2) 7245

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Q: h the function y = log2(x – 3)

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Q: Express 9ln x + ln y −7ln (−z) as a single logarithm for x, y > 0 and z < 0

A: The objective of this question is to simplify the given expression of multiple logarithms into a…

Q: Choose the letter of the log form that is equivalent to y = 2x+1 A. log2y = x + 1 B. log 2 x+ 1 C.…

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Q: Pls help ASAP

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Q: f(z) = a log,(Vdecz

A: Given, z = 8 + 9i  when  a=50 , b = 7, c = 10,  d = 12 and n = 6 .

Q: 5log. (x) – 7log, (xy) – 3log,(z) -

A: Answer and explanation is given below..

Q: Find the Re(z) and Im(z) z=logₑ(7+i)^4

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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: Solve for x sin(log2 (13x² +16x34) = y

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Q: Q1: A) Find for the folowing function : Y = log2(3X² + 1) ³ %3D dx

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Q: Use cofunctions of complementary angles to find θ where cos(17deg) = sin(θ). Use logarithm…

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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: Expand the logarithm and simplify as much as possible: log:(x2 – 9) Use the properties of logarithms…

A: Solve using the properties of the logrithams

Q: Find fdz 7 log(x) + C

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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: (iv) log4 x - log4(x - 1) = 113 2

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Q: Solve for 2: (You must show all of your work.) log, (4 – z)+ log,(x + 2) = log, (3 – 2x) -

A: We know loga(uv) = logau + logav logax=logay ⇒ x=y

Q: 5. [ACS] Determine the following values: (a) Log(i) (b) Log(1 + i) (c) Log(√3+i).

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.