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

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Q: 5. Find the equation of the line tangent to the graph of y = loge a when a = 36. 6. Show that there…

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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: ses / ECONT003 | SZ 19/2 Solve the following equation 2 log,(2x): = log4(x² + 75). A. x = 7 B. x=15…

A: The given logarithmic equation is as below.

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Q: 6. h(t)=- 2-1 7. g(x)%= 1-Vx-2 8. f(x) tanx 9. (x) = log(1-2x) 10. y (1-x

A: Please check step 2 for the solution.!

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

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Q: #11

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Q: solve for x in the following equation 2e^3x-1=10

A: To solve the equation

Q: 1. Find the value of y. a. log;25 y b. logy32 = 5 c. log,y

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Q: 2. Solve for x. log,24 – log,2 = logax

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Q: 4. g(x) = 4x³ log, X 5. f(x) = 10* · e* 2x-x2 logze e²10* c. e*10* + loge e*(x-3) x²-4x+4 e. 4x²(3…

A: "Since you have posted a two questions, we will solve first question for you. To get another…

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: write the logarithmic equations in exponential form.

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

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A: You have asked Only part b and c

Q: Q3\ Solve for x: a. log(20x + 1) – log(x – 2) = 2 b. In(x - 2) + 2 in Vx+ 3 In6 %3D

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

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Q: 19) 3 log x + - log y - log z

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Q: (a) Use the definitions of hyperbolic functions in terms of exponentials to prove that 8 cosh'x cosh…

A: a) LHS =  8cosh4x  =  8(cosh2x)2  =  8 * ((1/2)( cosh(2x) + 1))2  =  2 (cosh2(2x) + 2cosh(2x) + 1)…

Q: log, (2) – loga(z + 4) = 5

A: We will solve the problem

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

A: Introduction :

Q: 4. S(x) = log,(-x)

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Q: Solve for r: log(z + 4) – log(z+3) = 1 You may enter the exact value or round to 4 decimal places

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Q: 4. The expression log(sinx) – log(cos.x) , 0<x<, is equal to A. log(sin x cos x)

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Q: 5. ƒ(x) = 10* . ex 2x-x2 a. 2 b. logze e 10 c. e*10* + loge e*(x-3) d. x²-4x+4 e. 4x²(3 log, x +…

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Q: y = log, x %3D 1 1 1 2 4 8. 16 8 4 2 y.

A: given y=log2x complete the table x 116 18 14 12 1 2 4 8 y

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: 1. Given that z=8-6i, write its exponential form. Round off decimal answers up to 3 decimal places.

A: Here, a=8b=6

Q: 2) y= log, (-4x +6)+ 4 2 +6 1) у3D 4) y= In (4x – 10) – 6 e+10 3) y =

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

Q: Differentiate.

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Q: 8. Let b be a positive real number not equal to 1. Determine the solution of the equation log, (2z –…

A: See the solution step by step.

Q: Solution to the equation Log(2iz + 1) = in is None of them z = ni z = i

A: Usually, log x is represented as log10x . If log x=y , then x=10y .  The natural logarithm, ln x is…

Q: Suppose a certain population is initially absent from a certain area but begins migrating there at a…

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Q: T + log, (V2" . 2™ sin 24-1 (-1)5 + (–1)27 (-1)766 3 25 – 24 – 23 + log, (log3(915) + 71+(-1)17 + 1)…

A: Find the values of each terms one by one.  Since loga ar=r, sinπ+log2 2π·2π25-24-23=sinπ+log2 2π8…

Q: 5. Find y' and y". In x (1) f(x)= (2) f(x)= log,o * 6. Find y' if y=In(x²+y?)

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: f 3(2x-5) dx а. - log7 × dx b. S log, x

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

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Q: It is expected in traditional mathematics that when you input data into a well-defined equation you…

A: As per the question we are given the logistic equation : xn+1 = f(xn) = rxn(1-xn) And we have to…

Q: dy Example 1: Solve x- +y= logx dx

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Q: Solve for z: log(z + 5) – log(z + 3) = 2 You may enter the exact value or round to 4 decimal places.

A: The equation to be solved is logx+5-logx+3=2   The properties of logarithm to be used are as…

Q: rewrite each expression as a singlelogarithm.

A: 35). Given expression is 3log2x+log2y To rewrite the expression as a single logarithm. Solution:…

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+logx 2. =D1. %3D 1. 196 16. Solve for x, 5-log:

A: We have to solve for x .

Q: 7. y" - 2ry + (log z)y -0, y(1) - 0, (1) = }, k - 5. 7. y - (z- 1)+1(z- 1)2+(z- 1) -- 1)+(-1)- 0<=<…

A: Suppose y(x) is a solution of the given differential equation. Its Taylor series about x = 1 is

Q: 1 The solution of the equation Log(-z + 2) = i2n is 4

A: (c) 1+i,1-i,-1-i,-1+i is correct. We have to solve the given equation, that is, Log14z4+2=i2π…

Q: 1の4--9 aub FVAM ATを l0gb logA 164 こ てレフ)

A: