Graph ln x, ln 2x, ln 4x, ln 8x, and ln 16x (as many as you can) together for 0 <x <=10. What is going on? Explain

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

A: Solving for xln3x=ln5

Q: A certain forest covers an area of 2100  km2 . Suppose that each year this area decreases by 9% .…

A: ANSWER:

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: You deposit $5000 in an account earning 2% interest compounded continuously. How much will you have…

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Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for period 3 years

A: The formula used: A=Pert

Q: will lim n-00 In(x)dx lim fn(x)dx?

A: Given that, fnx=2n2x;x≤12n2n1-nx;12n&lt;x≤1n0;1n&lt;x where , fnx on 0,1 It is possible to take…

Q: tan(5x) 2. lim 3x

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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: Solve: ln x = ln(x + 6)- ln(x - 4)

A: The properties of logarithms can be used to solve the problem. Now, it is observed that the…

Q: How long will it take for $4,000 to grow to $9,000 if the investment earns an interest rate of 2%…

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Q: Solve: ln(x - 3) = ln(7x - 23) - ln(x + 1).

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Q: A depositor currently has $6000 and plans to invest it in an account that accrues interest…

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Q: Suppose you deposit $800 in an account that pays 4.25% annual interest compounded quarterly for five…

A: The principal amount is: P=$800 Rate of interest: r=4.25% And the time: t=5 years The interest is…

Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for each period.2…

A: Given: P=12,104  dollarsr=0.062t=2  years

Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for period 4 years.

A: Given : Invest amount ( P ) = $ 12,104 . Interest rate ( r) = 6.2 %  Period ( t) = 4 years

Q: Solve ln x - 32 ln x + 2 = 0

A: Given: lnx-32lnx+2=0 For finding value of x, we simplify given expression

Q: lim x-x 10 √x + (Inx)¹0 +5 3√x + (lnx) ¹00 + 10

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Q: derive a formula for the of time that takes money to increase by one and half in a bank account that…

A: We have R= 3% compounded  yearly Let say it will take t years

Q: Find lim 1+1? 1-e24 -2t -1 tant, 2 2 1-1

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Q: You deposit $2000 in an account earning 3% interest compounded continuously How much will you have…

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Q: lim (log, (x +3x) –-log, (1+16x²))

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Q: lim,-0 e" = ?

A: Consider the given limit limx→-∞ex.

Q: Time Required to Reach a Goal If Angela has $100 to investat 2.5% per annum compounded monthly, how…

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Q: How long will it take for $4000 to double in value if it is deposited in an account bearing 7%…

A: Let the time taken be t years

Q: certain forest covers an area of 2300 km2 . Suppose that each year this area decreases by  3.75% .…

A: Topic :- algebra

Q: earn on an investment of $4500 to ensure receiving $279.00 interest after 1 year?

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Q: 4.lim 1252x-7+2 Sーズ 5. lim e*+1 X-4

A: Let's find.

Q: solve for x   ln(x)=.0807

A: We want  to free up x from natural  log. So take exponential  on both side.

Q: ind the time it takes for $6,300 to double when invested at an annual interest rate of 15%,…

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Q: Simplify and condense 2(ln(x)-ln(x+1)+3/2ln(x-1))

A: 2(ln(x)-ln(x+1)+32ln(x-1))=2lnxx+1+lnx-132

Q: Evaluate the limit, if it exists:

A: LCM of (x+h)^2 and x^2 is x^2*(x+h)^2.Simplify the numerator using LCD.

Q: lim log, (cosx) -3 t 2.

A: Here we can see that applying the limit, the limit does not enter into an indeterminate form, so we…

Q: Graph ln x, ln 2x, ln 4x, ln 8x, and ln 16x (as many as you can) together for 0 &lt;_x&lt;_  10.…

A: We have to draw the graph of lnx, ln2x, ln8x &amp; ln16x. Drawing the graph of the above function.

Q: Calculate the limit.

A: We have to find the limit: limx→∞ln3x+1-ln2x+1 It is ∞-∞ form. Simplifying further using logarithmic…

Q: How long does it take for a deposit of $800 to double at 5% compounded continuously? How many years…

A: Given query is to find the time taken to become the deposit double of its value.

Q: lim log, (8X – 4) x→∞

A: The given limit is: limx→∞log28x-4 This can be written as:…

Q: $8000 is deposited in an accoubt earning 2% interest compounded continuously. use the continuous…

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Q: solve for the unknown. ln(x4) − ln(x2) = 2

A: Use this property of log: Then combine like terms

Q: 2. lim (e* – 1)lnx

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Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for each period 4…

A: A= P ert

Q: A woman invests $6500 in an account that pays 6% interest per year, compounded continuously.(a) What…

A: Compound interest: A woman invests $6500 in an account that pays 6% interest per year, compounded…

Q: lim (5x+1/5x-1)x  ? x--&gt;infinity

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Q: How long will it take to triple your investment at 6% interest compounded con-tinuously.

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Q: tan 2x 27. lim x→0

A: Find the following limit

Q: e number of years required for a $2000 investment to double at a 10% interest rate coumpounded…

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Q: A certain forest covers an area of 1900km^2. Suppose that each year this area decrease s by 3%. What…

A: Initial area of the forest = 1900km^2 decay rate = 3% per year time = 11 years

Q: d. lim+ In 1000 X X5

A:

Q: In the last 4 line, where is the ^2 in the ln part?

A: The given integral,      ∫13arctanx dx