log, (x – 5) + log,(x + 3) = 1 In(5x) + In x = ln(100)

Q: O log (x)+Log (x-1) = log (8X-12)-1eogL2) %3D Ans/x= 2,3

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: (h) lim - 7 log: (z) -0- ||

A: Given query is to find the value of indicated limit.

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: 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: log(-x) +log(2 – x) = log( 3)

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Solve for x 3log 2 =log x

A: We have to find valu of x

Q: 10. Let log x 4, log y 5, log z 3. Using properties of logarithm, find the value of %3D log Show…

A:

Q: 4 log 4(x + 4) -p- X+4

A: Given: ∫04log4x+4x+4dx

Q: log (x-4) log (x-4) = 1 4 | -6, 6

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

A: Use the following properties of the logarithmic functions, while solving this equation. log a - log…

Q: how did you get ln n - ln 2

A: Given sequence  an = (ln3-ln2)+(ln4-ln3)+(ln5-ln4) +.... We observe this series This series going to…

Q: log(x-20)-10g(8) = (og(x-l2)-109(x)

A: We will solve the equation.

Q: Solve the logarithmic equation for x. log2 3 + log2x = log25 + log2(x - 2)

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Q: A Logarithmic Identity Show that

A: We have to show the logarithmic identity: -lnx-x2-1=lnx+x2-1 We know the property of logarithmic,…

Q: log(x^2+2x-8)=2+log(x+4)

A: Given equation is log(x2+2x-8)=2+log(x+4)

Q: 6 - 2 log2(4x) = 0

A: Given,           6-2log24x=0

Q: Log(2x+1)-logx=2

A: Given equation is: log(2x+1)-logx = 2

Q: 2 2. + logio x - 3 = 0 10 %3D logx 10

A: 1logx102+log10x2-3=0Apply log rules:2log10x2-3=0Rewrite the equation with log10x=u2u2-3=0u=32,…

Q: 4) 19-17-log₂ (2x+4)

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

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Q: 17. log (x² + 3) - log(x + 6)

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Q: Log(-z + 2) = i2 4

A: Consider the given expression, ln14z4+2=i2π The complex number is represented in three ways,…

Q: Solve the logarithmic equation for x. In( x - 1/2) + In 2= 2 In x

A:

Q: log [x (x - 4)] = log 12 %3D O x = -6; x = 2 O x = 6; x = -2 = -6; x = -2 O x = 6; x = 2

A:

Q: 6. 1- x Find the area of the region bounded by thex-axis, the y-axis, and the graph of y = 2- 2x +…

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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

A:

Q: f(x)=3x+3-18 and f-1(x)=log3(x+18)-3 Show that (f•f-1)(x)=x

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Q: 5 log x Ans.

A:

Q: ln(log 8.3)

A: solution is given below

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

A:

Q: 7. log;(x²) =, x log5(_ 8. log,(y*) = x log-(. 9. log(V1000) = – x log( %3D

A:

Q: Log4(x2+8) using base e

A: Given  The logarithmic expression is Log4(x2+8) Change of base formula for log

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: Hiw/ prove That: の logiま2ogi 10g中 の log (i+)=2 l0g(iti)

A: Note that log and Log are different in complex.

Q: log 8x + log® x-2 - log® x-3 = 2 log° (x-1) - log³ (2x - 1) = 5

A: Given that log88x+log8(x-2)-log8(x-3)=2 Using the following properties, log…

Q: Exponential 1.f (x) = 23x-6, when x = -1 3x+2 .1 2.f (x) = (-) x-7, when x = 2 Logarithmic 3.f (x) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: log(-x + V 2 log -x + x² + 1}• log{x + Vxn ,2 + V x +1

A: use property of logarithm.

Q: f(x) = [ln(3x)] / (1-x)^2find f' (2)function equals (natural log of 3x )over (1 minus x squared).…

A: We have

Q: Solve the logarithmic equation for x. log x + log(x - 1) = log(4x)

A: Consider the provided equation, logx+logx-1=log4x Solve the logarithmic equation for x. Apply the…

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

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Q: a) log2 25 – log, 5 is the base 2 logarithm of ) 4 In x + In(x – 25) is the base e logarithm of

A:

Q: i.) 5 log:X = 25 ii :) In (5 – x) – In (5 + x) = -In 9

A: This problem is related to logarithmic section and solve this using some logarithmic properties.

Q: The function that grows at a rate equal to its value is 1) exponential function with base e 2)…

A:

Q: 8. Solve the logarithmic equation for x: log, (4- x) = 7 (1) x = 2191 (2) x = 2183 (3) x = -2191 (4)…

A: We have to solve the logarithmic equation  log34-x = 7.

Q: Log(x^2 +3) = log(x+6)

A:

Q: log (3x +4) = log (5x-7) %3D x=2 x=11 x=2/11 x=11/2

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Q: log,(x – 5) + log,(x + 3) = 1 In(5x) + In x = In(100) In x + In(x – 1) = 10 In(x + 25) – In(x – 1) =…

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Q: Solve the logarithmic equation In x + In (x+3) = In 1

A: