If (ln x)/x = -2 ln 2, must x = 1/2?Give reasons for your answers.

Q: Find the missing values assuming continuously compounde interest Initial Investment: $1000 Annual…

A: Given that  Initial investment = 1000  To find time to double, we use final amount = 2(1000)=2000…

Q: In the given question/ as follows, solve for x accurate to three decimal places?   ln(x - 3) = 2

A: Take anti-logarithm on both sides of equation lnx-3=2. elnx-3=e2x-3=e2 ⋯ (1)

Q: If $5000 is invested at 3% compounded continuously, what is the amount after 3 years? The amount…

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Q: Solve the equation for x.  ln 3x = ln 5

A: Solving for xln3x=ln5

Q: The half-life of a radioactive material is the time required for an amount of this material to decay…

A: Solving the differetial equation: Q'=-rQ

Q: Solve: ln(x + 2) - ln(4x + 3) = ln (1/x).

A: GivenIn(x+2)-In(4x+3) = In(1/x)We have to solve this equation We have In(x+2)-In(4x+3) = In(1/x)We…

Q: What is the compound interest if $176,000 is invested for 6 years at 8% compounded continuously. The…

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Q: You need  17,000i n your account  6 years from now and the interest rate is 8% per year, compounded…

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Q: - (a) cosh(ln 5) (b) cosh 5

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Q: a. If (ln x)/x = (ln 2)/2, must x = 2? b. If (ln x)/x = -2 ln 2, must x = 1/2? Give reasons for your…

A: Take a function y= 2lnx - x*ln2

Q: If $7000 is invested at 7% compounded continuously, what is the amount after 7 years? The amount…

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Q: How much money invested at 5% compounded continuously for 3 years will result in $82

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Q: How would I calculate the principle value of  ln(-ie)

A: Given, z=lne-i Convert e-i to polar form. For a complex number a+bi  polar form is given by,…

Q: Principle: $ 800 Rate: 3.5 % compounded Semiannually Time: 1.5 yr(s) *

A: Given that Principal =$800 Rate is 3.5% Rate of interest compounded semi annually. Time is 1.5 years

Q: 6) In(x²) = (ln x)²

A: These are all unrelated problems since anyone can be solve without any help of another. So by…

Q: Find the antiderivative of antiderivative of x2(ln(10x))2

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Q: At what interest rate compounded continuously must money be invested to triple in 5 years? A rate of…

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Q: Without showing the details, explain how to condense ln x - 2 ln(x + 1).

A: Given: lnx-2lnx+1

Q: A certain radioactive material loses mass at a rate proportional to the mass present. If the…

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Q: In the given question/ as follows, solve for x accurate to three decimal places?   ln x = 2

A: We know that, from the property of logarithm lna=b⇔eb=a

Q: Solve for x accurate to three decimal places. ln 4x = 1

A: To solve the equation ln4x=1 We know that logax=b⇒x=ab Solving the given equation, using…

Q: Suppose that $1,000 is invested at 5% interest compounded continuously. Use the formula A = Pert.…

A: It is given that $1,000 is invested at 5% interest compounded continuously. That is, P=1000,r=5%.…

Q: Solve for x accurate to three decimal places.

A: Solve for x accurate to three decimal places.  50001+e2x=2

Q: How long to the nearest year will it take $50,000 to triple in values at7.5% annual interest…

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Q: In the given question/ as follows, solve for x accurate to three decimal places?   ln 4x - 1=2

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Q: Differentiate  y = ln(2x + 1)

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Q: If $8000 is invested at 5% compounded continuously, what is the amount after 3 years? The amount…

A: According to the given information, it is required to calculate the amount after 3 years.…

Q: A money market fund has a continuous flow of money at a rate of f(x)=0.07x+100 for 10 years. Find…

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Q: A radioactive substance has a half-life of 3000 years. If you start with 100 kg of it, how much will…

A: In 1 half life amount becomes half of its initial value. After n half life it becomes 1/2n of its…

Q: If $6,000 is invested at 3% compounded continuously, what is the amount after 7 years? The amount…

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Q: How long $2,700 should be invested at 4.5% compounded continuously to grow $5,803

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Q: How much money should be invested at a rate of 6% compounded continuously to produce an amount of…

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Q: What is the ln of 1/time if the time is 359.4 seconds?

A: SOLUTION:-

Q: If you use the approximation ln 2 ≈ 0.70 (in place of 0.69314c), you can derive a rule of thumb that…

A: Formula of compound continuously is

Q: What is the effective rate corresponding to 18% compounded daily? Take 1 year is equal to 360 days

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Q: Solve for x accurate to three decimal places   ln x = 2

A: Given: lnx=2 we know that if lnm=n then m=en similarly, lnx=2x=e2x=7.3890x≈7.389

Q: Solve for x 4+ln(x-3)=2 Do not round any intermediate computations, and round your answer to the…

A: Given equation is 4+lnx-3=2. We have to solve this equation for the variable x. First we will…

Q: If you use the approximation ln 2 ≈ 0.70 (in place of 0.69314 c), you can derive a rule of thumb…

A: Given a rule of thumb that says, “To estimate how many years it will take an amount of money to…

Q: How do I solve A=Pert, where P=$20, r=12%, t=3 years? $20 invested at 12% compounded continuously…

A: $20 invested at 12% compounded continuously after a period of 3 years.Calculate the Amount

Q: If $8000 is invested at 6% compounded continuously, what is the amount after 2 years? The amount…

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Q: Solve for x accurate to three decimal places.

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Q: If a is a positive constant, what is the solution to the equation 3 + 2 ln(x) = ln(a)?

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

A: Definition:                                Let f(x) and g(x) be positive for x…

Q: Solve exactly:  6 ln(x) = 5

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Q: At what interest rate compounded continuously must money be invested to triple in 4 years? A rate of…

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Q: Find simpler expressions for the quantities e-ln x2

A: e-lnx2

Q: When is ln x negative?

A: When is ln x negative?