Compute the following: (a) (1+ V3 i)12 write answer in the form x + iy. (b) e³+ri write the answer in the from æ + iy. (c) Log(-7 – 7i) write the answer in the from x + iy.

Q: (B) 3 log, (2x – 5) -8= 7

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Q: a log(bz + cиw)

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Q: Combine the given expression into a single logarithm with coefficient one: ½lnx + ln(x + 1) (x − 1)…

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Q: log 12 = O3 log 4 O4 log 3 O2 log 6 O log 3 + log 4 O log 3 . log 4

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Q: 08(3-j2) 7245

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Q: Express Log (2) in Cartesian form (x+iy). Justify all of your steps.

A: Here we can use the formula  Logz=12logx2+y2+i tan-1yxwhere z=x+iy

Q: Express Log (34) 3+4i in Cartesian form (x+iy). Justify all of your steps.

A: Introduction: The Cartesian form of the complex number is z= x + iy Given: Log3 + 4i2 + i To find:…

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

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Q: Evaluate the complex logarithm: In (i + i*) In v2 + 7? i In v2 + 3 i In v2 – 7 37T In v2 – 3 i 4

A: Here, the given expression is: ln (i2+i3)

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

A: Answer and explanation is given below..

Q: Write the following in a + bi form. a) e4ln 3+i b) Log(4 + 4i) c) Log(-37)

A: Euler's identities :e−ix=cos⁡(x)−isin⁡(x), eix=cos⁡(x)+isin⁡(x) .Logarithm properties: (1)…

Q: a. b. C. (30²)² Simplify: -Xb³ 6b Simplify 3 - logx² + log(xy) expressing it as a single logarithm…

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Q: b) log(x) + 2log(y) - 3log(z) + log 2

A: topic - logarithmic equations

Q: Log(-7 – 7i) write the answer in the from x + iy.

A: Just note that Log(reix)=Log(r)+ix.

Q: The expression log10 √²+1∙log10 1000 is equivalent to: Ο Α. 1000(x² + 1) log10 3 B. log10 (²+1) O C.…

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Q: (8 x V5 Write log in terms of 81 log 2, log 3 and log 5 to any base.

A: Given, log (8*51/4/81)

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: Expand the following logarithmic expression as much as possible: (x + 3)*(x² – 4) V5 – x - In

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Q: Simplify the following: 3 log, u+ 12 log, v In(x) 2ln(y) + 3ln(z) - Solve the following: 7a+9 -3e"…

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Q: Solve for x: log(4x) – log(13 + √x) = 2

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Q: Evaluate: (a) log6 9+log 6 4    (b) 1n(1/ √e)

A: a) log69+log64b) ln1e

Q: 64 16 log a 64 + 8 log 64 + 4 log 64 + · · 3

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Q: Solve for x. Show exact values. State restrictions on the variable (if applicable). a) 216x+1 = 6x-4

A: Introduction: Indices describe the basic properties of algebraic expressions. It deals with the base…

Q: 1. Complete each of the sentences. No need to show work. a) The inverse of y = log x is b) Rewrite…

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Q: log(2-j)(3 + jv3)

A: Solve it.

Q: Evaluate log 3. j4) 5eJT/3 = A + jB, determine the real component A (A) 0.902 B 1.033 3.667 D 2.897…

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Q: Evaluate log(1+i) (1+ v3i) A. 1.442 – 0.246i C. 0.151 + 0.341i - B. 1.198 – 0.215i D. 0.301 + 0.455i

A: Use following formula to find out result  log(z) = log(r) + i θ