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

Q: Solve th equation for x. log2(log3 x) = 4

A: Consider the given: log2log3x=4Using log Rule:logap=n is equivalent to p=an,log2log3x=4…

Q: What is the total amount of 24000 TL with 4,8 % continuously compound interest after 5 years?

A: Consider the formula for continuous compounding, A=P·er·tHere,P=principalr=rate of interestt=time…

Q: Give 1 problem for differentiation rule of exponential

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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 are differentiation of exponential functions

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Q: INtegrate cotx/log(sinx)

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Q: The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4…

A: We use the formula                                P = ∫0T f(t)e-rt dt

Q: If a derivative of a function is constant, the function is: O First Degree Exponential O Logarithmic…

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Q: Evaluate the derivative: y = log2(log2x)

A: It is given that,

Q: Express in terms of sums and differences of logarithms. 2 In In 3 3x y 2 3 3x y

A: Given:ln23x3ywe need to express this logarithm in terms of sums and differences.We know thatln (ab)…

Q: $7, 400 is invested in an account earning 8% interest (APR), compounded continuously. Write a…

A: total invest $7400 with 8% rate of interest for t years  Compound interest?  Total annual growth…

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: A population of animals starts at 484, 000 and grows continuously at 9.00% per year. Find the…

A: Given , Initial population P=484,000 rate r =9% time t=17 year

Q: 1) loga(3-1ogalx-)=2

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Q: Acell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Note that increasing from one to two cells means the population should be doubled. On the other hand…

Q: On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 4% interest,…

A: it is given that, a parent deposits $30,000 in a trust fund that pays 4% interest, compounded…

Q: 2. Express in terms of sums and differences of logarithms In 2 3x³y (In 2 divided by 3x³y)

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Q: Define a Derivative of Logarithmic Functions?

A: To define a Derivative of Logarithmic Functions.

Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A: Given:

Q: $400 invested at 7% compounded continuously after aperiod of 3 years

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Q: $5,000 is invested in an account earning 6% interest (APR), compounded continuously. How much is in…

A: Total investment P=$5000 Rate of interest R= 6% Time t=3 years Total amount after 3 years

Q: Evaluate the derivative of y=(cosh'(4x))* . Give your answer in natural logarithmic form.

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Q: On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 5% interest,…

A: To find the balance in this account on the child's 24th birthday when compounded continuously

Q: What is ln(-3)? Explain.

A: We  have given ln-3. We know that lnx is defined if x>0. Domain of lnx is (0,∞). Therefore, input…

Q: find the present value of an investment worth $15,000 in 15 years with 5% interest compounded…

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Q: Suppose you deposit $4000 at 7% interest compounded continuously. Find the average value of your…

A: Given: Principal amount=$4000 Interest =7% Time = 3 years To find: The average value

Q: An investment earns 5.1% yearly interest compounded continuously and is currently growing at the…

A: Solution:Given    i=5.1%     n=1     A=765   To find P=?Formula:A=P(1+i)n

Q: Create two exponential functions that have a horizontal asymptote at y=3 and go through the point…

A: The solution is given below

Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A: Topic-basic maths

Q: Determine how long it will take for an initial investment to double if it earns 7% interest per year…

A: The time take to double the initial investment is approximately 10 years  see the calculation below

Q: A computer viruS can grow exponentially just like a real virus in a person's body. Suppose the…

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Q: Expand ln 3√y3z2/x4 as a sum, difference and/ or the consent multiple of logarithms.

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Q: A woman invests $6400 in an account that pays 6% interest per year, compounded continuously. (a)…

A: To find the Final amount by using Compound interest, the following formula can be used…

Q: Suppose you deposit $6000 at 9% interest compounded continuously. Find the average value of your…

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Q: When do we use the Chain rule in derivates of exponential function

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Q: express ln 3√4 in terms of ln 2 and/or ln 3

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Q: lim log, (8X – 4) x→∞

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

Q: logarithmic

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Q: An investment offers 5% interest compounded continuously. What is the amount of interest earned in 1…

A: Solved the give problem using concept of formula of Compound Interest ( C.I. )

Q: A computer virus can grow exponentially just like a real virus in a person's body. Suppose the…

A: Given that: Initial bytes infected = 11 bytesRate of growth = 7% per min.

Q: Explain how to find a differential of a function.

A: Let us consider a function f(x) and its differential to be f'(x)

Q: Give 5 example of integrals yielding natural log functions with solution

A: The integral examples are:

Q: Find the accumulated amount after 5 years if $4500 is invested at 4%/year compounded continuously.

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Q: ln ex = log1313x

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Q: Use definition of hyperbolic function to prove that 2 sinh x cosh x = sinh 2x. Hence, solve the…

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Q: consider an investment where $42000 is invested for 15 years at 6% compounded continuously. how much…

A: Given  Invested amount = $42000 interest rate = 6 % compounded continuously  time = 15 years

Q: Describe the Derivative of the Natural Logarithm Function?

A: We have asked to describe  the derivative of the Natural Logarithm Function.

Q: At what constant, continuous rate must money be deposited into an account if the account is to…

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