a) f (x) = 7x log 3x b) f (x) = 3*

Q: 9. What is the maximum value of |Log z| |2| 1? on

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Q: a- Simply the following 1 1. Inx – In(x2 – 1) + 2ln(x + 3) - 2. 5log2 + log3 – log8 b- find x for…

A:

Q: Log(X^3Y^2Z^7)

A:

Q: 7. f(x) = 6e* + log2(7x² + 3x + 1) f'(x) =

A: Given: fx=6ex+log27x2+3x+1 Differentiating fx with respect to x, f'x=ddx6ex+log27x2+3x+1…

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: 2. Differentiate: a) y = log2(3x) %3D 2 b) f(x) = –7 log(x²) %3D

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Q: If k is a positive constant, show that x^2 e^-kx approaches 0 as x --> ∞.

A: Given  The x2e-kx approaches 0 as x→∞.Where k is a positive constant .

Q: 4 Evaluate (logyx)'., having given, 1 1 y = log1,x + ; log,0x + log10x + . 00 1+3+5+ ..+ (2y - 1) 20…

A: We have to solve given problem:

Q: 10) Solve the logarithmic equation In(x+1) – In(x – 4) = 1. -

A:

Q: Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value…

A: Given

Q: 9. Condense (log4x – log4y)+2 log4(x+1) into a single logarithm with a coefficient of one.

A: Explanation of the answer is as follows

Q: Then, use a calculator to obtain a decimal approximation to three decimal places, for the solution.…

A: Given that the equation is log2x-3+log2x-log2x+2=2.

Q: b- find x for following 1. logx = V2 2.ln(x + 1) = 5

A:

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

A: fx=logax

Q: (x-3 x0t5)Y Sin(lgx) Sin(logx) %3D

A: Cauchy Euler second order differential equation Let us consider differential equation of the form:…

Q: Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value…

A: To Discuss: a. Does fx=logarithm x, with base 12 approaches a certain real as xincrease positively?…

Q: 1.Solve by logarithmic differentiation -(x+1)(x+2)(x+3)2 Y=In(- V(x+3)3 (x+4)*

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Q: Sketch on graph a) y = 2x-3+ 3  b) y = log2 (x – 4)

A: a)

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…

Q: (b) 5" (2 – cot 5")(1 – csc 5“) dx SC 11 – 2 log x (c) / dx JIV6 log r – logʻ 1 x/6 log x -

A: You have asked Only part b and c

Q: 2. If the rate of transmission of an additional case of covid-19 is 0.3 per day starting February…

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Q: 4. Show that id 5D accuracy is required to calculate the value of log(1+x) at x=0.1,0.5 by using the…

A: Given equation is log1+x=x-12x2+13x3+.....+-1n+1nxn+Rn+! So, Rn+1=-1n+2n+1xn+1 So, maximum relative…

Q: 2. Evaluate sin2x logtanx dx

A: Use the property of the definite integral and simply solve it.

Q: 1. In 2x - 21n/2y³ + In(xy)² as a single logarithm.

A: since you have posted multiple question i can do first question as per pur company guidelines please…

Q: 1. y = e9z-5 2. y = 2x ln(x +2) 3. y = (2x – 5) log(3x² – 6æ)

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Q: 2 Solve (x²D² - xD + 4) y = x² sin (log x).

A: Given differential equation is x2D2−xD+4y=x2sinlogx. We have to find the general solution of the…

Q: (b) 2log(x – 3) – log(x – 1) = 0

A:

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

A:

Q: Solve for x. (a) In (x – 3) = 7 (b) In (x + 4) + In (x - 4) = 1 (c) log gx² - log ,2x = 3

A:

Q: Evaluate log2(x²) dx In(2) -log2(x²) + C 4 In(2) log2(x²) + C n(2) (log.(r2))2 (log. (x2))2 1r 4…

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Q: In (x + 4) + x = 5 log log (x + 1) +3

A:

Q: 7) Propose an equation similar to log 4 + log x = log 27 whose solution is 9 %3D

A:

Q: Write the expression as one logarithm . SNIPP

A: To rewrite expression as single logarithm. Using the properties of logarithm,

Q: 7. Use properties of logarithm to expand In (y³z²Vx – 1)

A: Property of logarithm

Q: 7. Differentiate y = log10 (x² + 1)² b. 4xlog10e x²+1 a. 4x(x² + 1) c. log e(x) (x² + 1) d. 2x(x² +…

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Q: If log(x + 3) + log(x – 3) = 1 then The value of a is

A: considering log base 10   using log property log(a)+ log (b)=log(axb) and  log 10 =1

Q: 10. Express as a single logarithm. 6 log x + log 10 - log(x + 2)

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Q: 2 In 2 log2 x dx 7- S

A: Here I am attaching image so that you understand each and every step.

Q: 2. Show that x– log (1 +x) < く 2 (1+x) ' ザ-1<x<0.

A:

Q: Solve for x:   logx=0.328 logex= 1.627  log2 x=6 In x= 0.444 x=antilog 3 -antilog 2  if base…

A: We will do algebraic manipulations along with applying the properties of log &amp; antilog And in…

Q: 2 log(x+y) = 3log3 +logx + logy

A:

Q: Find the greatest integer less than or equal to log29 S² log2 (x³ + 1) dx + (2x - 1)³ dx.

A: At first, we have to evaluate: I=∫12log2x3+1dx + ∫1log29(2x-1)13dx

Q: 4. Solve for x: a. 100(1.04)²x = 300 b. 2+ log v1+ x + 3 log VT–x = log v1 – x² c. V35x-I = 9 d.…

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Q: B. Express as a single logarithm and, if possible, simplify. 1. log, x + 4 loga y - 3 log, x 6.…

A: According to our company's guidelines I can only answer first three subparts of the question B since…

Q: 4 In2 log2 x 1-

A: At first we will change base of log2x to natural log by using base change formula. Then use…

Q: What is the linear approximation of log base 5 x at x=5

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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: 4 If log3 (x + 1) – log3x = 2, then x equals: F - - 8. 6. G H 8. | 15

A: