tan - (i – 3) = 2 Log i-1|-i8 + i2kㅠ 3 i |Log -2 i-1+ i0 + i2k 3 | ㅠ 2 Log .i-1 |+ i0 + i2kㅠ 3 2 + i0 – i2kt

Q: sun(log(1+z)) 230Log(1+ Suin2) um 2-)0 log(i+sinx)

A: We will use the result  If limx→af(x)g(x) = 00 , then limx→af(x)g(x) = limx→af'(x)g'(x)

Q: 1. Use the properties of logarithms to simplify the expressions: a) In sin 0 sin 0 In 5 b) In (4r*)…

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Q: PROVE that log, 100 = 2(1 +log; 2)

A: We have to prove that                                     log5100=21+log52

Q: snip

A: To prove,  loga1N=-logaN where, a  and  N are positive real numbers and a≠1. Now, take the left…

Q: (iv) log, r – log,(r – 1) = ; (v) 41-z = 32r+5 () -- (vi) 2x In = 0

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Q: 1- Solve the equation and explain that Cos3x - 3Cos x <5 Cos²x-9 Cos x 2- Solve the logarithms…

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Q: log,,3 + log, (4x + 1) = log,o (x +1) +1

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Q: tan -1(i - 3) = Log – i0 + ¿2KT - O 2 3 + i0 – i2kTt Log O 2 - Log + i0 + i2kT 2. Log i-1+i0+i2k T…

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Q: 2- Solve the logarithms equations log(Cos x-1) Cos2 x -1 = 2

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Q: (5-3x^2)^7 (square root 6x^2+18-12) how would this be solved using logarithmic differentiation?

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Q: Quèstion 7 log(2– 3i) = 2.56 +0.98 i+i 2kTt 2.56 -0.98 i + 2kT 2.56 -0.98 i+i 2kT - 2 2.56 -0.98 i +…

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Q: tan -1 (i – 3) = Log O -2 i-11 + i8 + i2kπ Log i-1|+i0+ i2kㅠ Log i-11-18+i2kㅠ | O 2 3 + 18-12kㅠ Log…

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Q: PROVE that log5 100 = 2(1 + log5 2)

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Q: 2 log, u - 3 log, 4 log, V -

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Q: 4. If log, 2(x + 6) =log, 36, then the value æ is 5. If log, æ = 0.5 and log, y = 1.16, then the…

A: We have to solve given logarithm equations. In the first equation we have to find the value of x.…

Q: valuate. Express result in Rectangular Form correct decimal places. z = log(1-5) (2 + 4i)(1-2t) +…

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Q: (3) Find the domain of f(x) = log(6 + x – x²) (A) (-∞, 3) (B) (-2, 3) (C) (3, ∞) (D) (-∞, -2) U (3,…

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Q: log, y -log,(2-y)= 0

A: Use the logarithmic identities: logax-logay=logaxy            where x,y and a&gt;0, and…

Q: Log (3x-5)-109 (4x+1\ = Log x+6)-L09x+2 8, 8,

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Q: 10. Prove that (log2 3)-1+ (log4 3)-1 < 2.

A: Simplify the powers of the term (log23)-1+(log43)-1 by writing the terms as fractions.…

Q: If Ptiq a %3D prove that log ay") a lap + Ba) %3D

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Q: What is the value of b so that (x) = log,(x) passes through the point (64, 3)? B -8 D {-4,4}

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Q: Logarithm base b Prove that log,x dr (x In x – x) + C. In b

A: To prove: ∫logbxdx=1lnbxlnx-x+C Proof: From properties of logarithm, we have lognm=logmlogn And…

Q: Cosh sec (3* Find (y')(3**) -X+1 y = log, 3

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Q: sin-1(-i) = o-i log(1 – /2) o -i log(i+ /2) | o i log(1 + /2) - i log(1 + /2)

A: In order to evaluate  make use of identity sin z in form of exponential:…

Q: 1. Combine log, (x – /24) + log, (x + /24) into one logarithm. 2. Solve the equation log, (x – /24)…

A: 1) From the property of the log: logca+logcb=logcab   Given; log9x-24+log9x+24 So,…

Q: log(wage) — 0.390- 0.337female + 0.084educ + 0.039елрer - 0.0001ехреr (0.007) (0.102) (0.036)*…

A: Solution: Given information: n= 526 observation SSR = 89.06 SST= 148.33 β2^= 0.084      Slope…

Q: Log TT -0.69- 2i | TT 0.69 i- , TT -0.69 - i TT -0.69+i II

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Q: Quèstion 2 log(2 – 3i) = 2.56 +0.98 i + i 2kt 2.56 --0.98 i + 2k TI 2.56 -0.98 i +i 2k TI 2 2.56…

A: We need to find the solution to log(2-3i). Options are given .We need to choice the correct answer.

Q: Solve for x using natural logarithm. (Show solution) 1) 5x-2 = 33x+2 1 2) log, 1 1 = x logs t 3) 2…

A: Logarithms

Q: log, (x + 1) = 2 + log, (3x – 2)

A: We have to solve the equation: log4x+1=2+log43x-2 We know the properties of logarithm,…

Q: The principal value of tan-' (2i) is :Select one 1 +i-log, 3.a 2 1 loge 3+ i .b c. None of these 1…

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Q: Method 2: 51-3 = 10 => log, (5-) = log, 10 t-3 = log, 1C by(2) a) 4·73t-1 = 7 35t b) 7 – 4 = 6 c)…

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Q: x-1 X-n x+n If y = x log show that y, =(- 1)" - 2 (n – 2) ! %3D x+1 (x - 1)" (x + 1)"

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Q: 4 -3 2 1- -8 -7 -6 -5 -4 4. 5 1- (-1,=1) 2 (0, –2) -3 |(1, –4) -4 -5 -6 -7 -8 f (x) =| log (x+

A: We can solve this using given information

Q: tan -' (i – 3) = Logi-1+ i0 + 12*T -2 Log i-1 -1- i0 + i2kn Log -1+ 10 + i2kT| O 2 2 -i-1|+i8-12kπ 3

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

A: Solve it.

Q: 13. Determine whether or not each statement is true or false for all x>0 & y> 0; If a statement is…

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Q: 3. Find all values for (a) Log(i√2+√2). (b) Log((1- - i)8). 2

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Q: log 3i = o log,3 - + i2k Tt o log 3 + i + i2k Tt o log 3 + i - i2kT o log 3 + -

A: we have to find the value of .

Q: 1. Rewrite 2In(x)-3In(z) as a single logarithm

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Q: log base 3 (x+3)+log base 3 (x-3) = 3

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Q: 1. Prove that (i) Log i = 2 (ii) Log(-5) = ln 5 + ti %3D i) = 3 In 2 + 2 (iv) Log(1+i) = In 2 + 3ri…

A: Since you have posted multiple questions, we will solve only first three parts of first question for…

Q: log, = 3 log, 2– log. (x- 2z) 2 express x in terms of z.

A: Given, logzxz2=3logz2-logzx-2z We have to express x in terms of z.

Q: 1. y = -3+log, r 2. y = log, (r – 2) 3. y = - log, (æ + 3) 4. y = 2 + log,

A: we have to match

Q: Quèstion 4 tan -1 (i – 3) = Log i-1|+i8-12kπ 3 2 2 i-1|-i8+ i2kπ O 2 i-1+i0 + 3 -2 i-11+18+ i2kㅠ

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Q: log(2– 3i) = %3D 2.56 -0.98 i + 2kT 2 2.56 -0.98 i +i 2KTT 2 2.56 -0.98 i +i 2kTt O -2 2.56 +0.98 i…

A: We have direct formula for logarithm

Q: T + log, (V27 - 2") sin 24-1 + log, (log; (915) + п1+(-1)17 + 1) + (-1)5 + (-1)27 (-1)766 25 – 24 –…

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Q: The principal value of tan- (2i) is :Select one 1 +i-log, 3 .a 1 log, 3+ i- .b 2 2 c. None of these…

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Q: logiot =-a %3D

A: