Let g(z) = Log(iz +1+1). Then one of the following is true: 8(-1 + 2i) is undefined and g'(-1+2i) does not exsit T 8(-1+ 2i) = i and g'(-1+ 2i) does not exist 8(-1+ 2i) is undefined and g'(-1 + 2i) = -i None of them 8(-1+2i) = i and g'(-1+ 2i) = -i

Q: What is the inverse of the function f(x) -In(5x + 1) – 7? ex – 6 elx + 7). 5 O fx)= elx+7] -4

A: Topic = Functions

Q: d) log, (7-3x)=3 e) log, x-log, x+1=-2 f) log, (x+1)+log, (5x-11)=2

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Q: Prove that f(x)=log(x)-x^2 +1 has exactly two roots namely x=1 and x=0.45

A: Function: f(x)=log(x)-x2+1 If it has two roots x=1 and x=0.45 then f(1)=0 and f(0.45)=0.

Q: 21. Expand completely: logn X y² - 9 -

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Q: Suppose that f(x) = log4 (4x + 1). Find f' (2). f' (2) =

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Q: 1 prove that there is no branch of the logarithm defined on G =C- {0}

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Q: 19. If log (*+²) = (log x + logy), prove 4 2 2 that x + y = 18xy

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Q: Q1) What is log((z^(4))/(5)) written in expanded form?

A: Given information : logz45

Q: 9-7.3=log_(10)((A_(1))/(A_(2))).

A: Given that: 9-7.3=log10A1A2. To obtain simplification of the given logarithm: By using the logarithm…

Q: 6. Solve for a with each of the following: (i) (32)³=+1 = 128 (ii) log;(4x – 3) = log3 (9) (a) (iii)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Determine if each is correct or incorrect (a) In(2) + In(x) – In(y) = - ---Select--- ✓ (b) 104log(x)…

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Q: #11

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Q: z=sin(4TT/3) | * Your answer n=2x^3-log(x)^5 Your answer d=|√(e^(x)^3 )|* Your answer

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Q: Tx – 2VT+ V3 (2x2 – x) (3x - 2) - - Find D Do not use logarithmic differentiation.

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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) z = loge(7 + j)*

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Q: uppose ƒ(x) = 9* log5 (x). Find: -¹'(x) = ote: Enter In(a) In(h) for log, (a).

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Q: Suppose g and h are functions such that g (x) = ln (1 + h (sqrtx)). Find g'(4), given that h'(2) = 1…

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Q: 9) f(x) = ex log6 X ex x(In 6) A) C) ex (121 X + log6 B) ex x(In 6) + log6 In D) ex 1 = (126 + 1086…

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Q: elnY e(1.389+0.8LNL +0.6LnK) > Y = el.389 elnLO LnK06 0.8 elnK06 = Y = 4.011L0.8 K 0.6

A: Solution Solution:-Step:1:   Given data is  eLnY=e1.389+0.8 LnL+0.6 LnK To prove  Y=e1.389 eLnL 0.8…

Q: 2. In (x + 2) + In 2 = 3 | 4. log:9 – logs (x+ 10) = 1 6. log, (x² +3x) – log, (x + 5) = 1

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Q: 6) prove that cost '2 = log (2 + √2²-1).

A: To prove that cosh-1(z) = log(z + sqrt(z2 - 1)), we can start by defining the hyperbolic cosine…

Q: 1. f(X)= xpi - pi(x) + pi/x + pix - cos (pi)

A: Given, fx=xπ-πx+πx+πx-cosπ We know that dxndx=nxn-1daxdx=axlnx

Q: Enter the result a log_(7)(2x^(5))-log_(7)(11x^(9))

A: Given expression log7( 2x5 ) - log7( 11x9 ) Formula we can use log( x )y = ylog( x ) log( x ) - log(…

Q: *If log(67) + log(y) = log(z), then 67 + y = z. a) True  b)False*If ln(67x) = ln (y), then 67x = y.…

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Q: ,162,20 If log A log(x) + Blog(y) + C log(z) 27 A = В - C =

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