log. (2-1)-log. (x-u)= 2 log Cao) (x-4)=

Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A: Given, graph where y=0 at x=3 y=log3x-1 satisfy this given graph  put x=3 y=log33-1y=1-1=0 now find…

Q: A. Logarithmic and Exponential Functions 1. y = log 2. t= In tan (; +) 3. y = In (e²x²)

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Q: (log3 (x² + 5)) = %3D dz

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Q: 14. For the logarithmic function (x)=log, (x-4), explain why x=0 is not in its domain.

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Q: Condense each logarithmic expression.

A: We have to condense the following logarithmic expressions -  (a) 12log x + 3 log(x+1)⇒ log(x)12 +…

Q: Given that ln(5) = x and ln(7) = y, express the given logarithmic value in terms of x and y.…

A: Given that ln(5) = x and ln(7) = y. Use the property of the ln function

Q: e-2x 2+x In 3x csc' x -) f(x)=. b)Use logarithm to differentiate: y = (3х-1)

A: a)f(x)=ln(3x)csc2x-x5e-x3f(x)=sin2x. ln(3x)-x5e-x3differentiating w.r.t…

Q: log(x³) dx

A: Consider the integral: ∫logx3xdx…

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

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Q: log3(x) dx

A: Given integral is ∫ 3x2+log3xdx. Consider u= 3x2.

Q: (x² + 1)? dy if y Find dx (x² – 1)³ a) without the aid of logarithmic properties b) using…

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Q: -3 7) log4 x = 2

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Q: (x-2) log.(x2 - 4) – 2 log (x-2) + loga (x+ 2)

A:

Q: 5. Find y' and y". f(x)= log,0 x Find y' if y=In(x²+y?) 6.

A: f(x) = log10x ∴ f'(x) = 1/x and f"(x) = -(1/x2)

Q: 'x + 2 3. -dx x + 1

A: To integrate: ∫x+2x+1dx Solution: Evaluating the integral.…

Q: Match the logarithmic function with its graph. I II y y. 1 + 2 III IV y y 1 1 O| 2 Pl 2 f(x) =…

A: This question is about application of graphs

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

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

Q: If log3(3x +5) – log3(9x) = 2 then enter your answer for x as a fraction in its lowest form

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Q: 10. y = log2(3x + 1) %3D

A: We have to solve

Q: 4. The domain of the logarithmic function f(x) = log, x is

A: fx=logax

Q: II. Logarithmic (2x-5)dx 1. S x2-5x+3 (x+6)dx 2. S (x+2)²

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Q: sin³ (x)(2x+5)6 Find y' if y = Text=s) log,(2x)' -5

A: We have to find derivative of the given function

Q: 1+x2 Through the proof of the logarithmic form of the function y-cschx-In(- |x| which of the…

A: The logarithmic function is the inverse function of the exponential function. The logarithmic…

Q: 2 lim log 10* X-1 8. -3 lim log,(x-2) x-9 А. 3/2 В. 2/3 C. 1/3 D. DNE

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Q: 2 log , x + 12log, y

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Q: log, (2) – loga(z + 4) = 5

A: We will solve the problem

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: 2 2- X The integral loge dx is equal to

A: Introduction :

Q: - If y=a² 1-log.x and z=a* 1-log, y , then x is equal to

A: Introduction :

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: 3. Use logarithmic differentiation to find y'; and simplify the result to a "single fraction". x2…

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Q: log log (y) = A * e ^ x + B * e ^ (- x)

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Q: 7) y= log, x+ 9 8) y= log, x

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Q: II. Determine the derivative of the ff. logarithmic functions 1. y = 25 In 5x 2. y = -10 In 3x4 3. у…

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Q: ) for the log equation log(x+1) + log(x-2) =1 The number of solution is ________. The sum of…

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Q: 4 log x + 20 log y- 12 log z

A: We will use basic log properties to solve this

Q: log x+ log(x²/y) + log(x³/y²)...... to n terms

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Q: log/ yx-y+3 1-4xt y 4X - log 3 4x ニ

A: Graph

Q: 4. Match the logarithmic function with its graph. (a) f(x) = log2 x (c) f(x) = -log, * (b) f(x) =…

A: f(x)=log2x fx=log2-x fx=-log2x fx=-log2-x

Q: 4.) Find y': Given:y = x²(3 cosh x - 1) 5.) Find y': Given: y = log, csc h (6x³)

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Q: 4. y = log(x² – 7) 5. y = ln х+2 x-3 31

A:

Q: d -log(z) = dz z O O 2- 1

A: We need to differentiate the function log(z) with respect to z. Differentiation is the process of…

Q: Find d/dx(4^x). Type ln(x) for the natural logarithm function.

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Q: (a) E(- log X) > – log(EX) (b) E[log(1/X)] > log[1/EX] (c) E (X³) > (EX)³

A: Question:

Q: loge (cos x) e. lim x V1+x2 -1

A: e.limx→0logecosx1+x2-1

Q: 3. log (x²+x)-log.(x-1)-2 А. 2 Oi J. оо о で В. 16 C..X D. - 16 -

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1) y = 3 x(x+1)(x-2) (x+1)(2x+3) use logarithmic differentiation

A:

Q: log3 (x°. VY16)

A: Given,         log3x9y163