#12. SOLVE THE EQUATION а. log (x²) = (log x)² 1 or 100 b. log Vr – 9 = 2 V 10,009 С. log (x³) = (log x)³ 1, 10, 10 \7 %3D

Q: Solve for x using sci notation x=log(y^5) ; if (log y) = 1.2 x 10^-4

A: We have to find value of x by using scientific notation.

Q: 8. In V5x 3 y z2 9. log. V xt 10. loga Va b5

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Q: Jay and John used to travel together but because of the pandemic, they decided to go separately…

A: Jay follows the path starting from point (0,1) path given is  loge(y)=x After interchanging a bit…

Q: Suppose that a population grows according to a logistic model with carrying capacity 6000 and k =…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 1. logx = 2 %3D 2.ln(x + 1) = 5

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Q: (с) гу' + ху — 1— у, у(1) — 0

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Q: At time t = 0, a bacterial culture weighs 2 grams. Three hours later, the culture weighs 4 grams.…

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Q: Solve the differential equation: y = 3x +log P.

A: Given equation is y=3x+log P Let us consider P as a constant and then dydx=ddx(3x + log…

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.

Q: 1. y = v4x + 3 log2(x² + 2) 2. y = 3vx²–3x+1

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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: The number of students in a school who have heard a rumor at time t hours is modeled by the function…

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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: y = loga 4x 6.

A: Differentiate with respect to x.

Q: 1 [log, (x- y) - log; (x+ y)]

A: Given that: 12log5(x2-y2)-log5(x+y)

Q: e3+j4(3+ j4)5 log ji' sin(3 + j4) j2022

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Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A: Given that Nt represents the number of people who are exposed to a particular advertisement. The…

Q: What is the differential equation given functions?

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Q: (i) Show that the solution of the logistic equation dr az – br dt (3) is given by 1(t) a – br(t)…

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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. Evaluate [log(-1-1)(-2-j2)] tan(4 + 3i) cosh-

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

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Q: Q1\ A 200°F cup of tea left in 65°F room. At time initially the tea is cooling at 5 °F per minute.…

A: The rate of cooling is directly proportional to the rate of temperature difference between the…

Q: 7 log.y- log, w+4log.z 5

A: on applying log algorithm we will get

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

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

A: Introduction :

Q: Solve the differential equation Y=3x+logP

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Q: 4. Which of the following functions grow faster than x2 as x→∞? Which grow at the same rate as x²?…

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Q: A lamb that weighs 10 pounds at birth gains weight at the rate dw = k(200 – w) dt where w is the…

A: Since you find that  w(t) = 120-190e-kt  where, w(t) = weight of lamb in pounds at t years

Q: Differentiate. y = 12* • log 6x d x (12*- log ex) = D 6x) = [ %3D dx

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Q: Differentiate y = (9x- 11) log3 (1læ – 9). %3D A. y' = 9(11x-9)+11(9z-11) In(9r-11) (9x-11) In(3)…

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Q: 6) If u = log (x² + y²), then prove that log (x² CSScanned with CamScanner dydx ôxôy

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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: Differentiate y = 3e +7 ln(2x) + log, x- 4" O y' = 15e5 ++ 1 - 4* In 4 %3D - I In 2 O y' = 15e5-1 1…

A: We have to differentiate  y = 3e5x + 7 ln(2x) + log2x - 4x.

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: 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: 10 logat 1) y = -

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

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

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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: 3. Find syz for ys = In(x + yz) – xcoth- log ()-

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Q: Prove the following equation(with appropiate restrictions on the variables) logx–2=log(x/e²)

A: Here we will use the following formulas logab = log a -log blog(ax) = x log alog e = 1 Consider…

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

A: We have to solve for x .

Q: (a) Solve the logistic equation y' = 0.27 - 0.005y2 , y(0) = 50. (b) What is the limiting value yL.…

A: For (a),  Note: We are taking y' = 0.2y - 0.005y2 , y(0) = 50 as the logistic equation is of the…

Q: 4. Show that sinh-1 x = log(x + vx² + 1).

A: We have to prove the result.

Q: Recall that the Logistic Growth Equation is given by P'=k P (M-P), where M is the carrying capacity…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…