Graph Y1 = log(x2) and Y2 = 2 log(x) using a graphingutility. Are they equivalent? What might account for anydifferences in the two functions?

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: Suppose that $8000 is invested at an interest rate of 5.2% per year, compounded continuously. What…

A: Principal= P= $8000 Interest rate = 5.2%= 0.052 Final amount = double of 8000=16000

Q: How long, to the nearest year, will it take me to become a millionaire if I invest $3000 at 9%…

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Q: Express in terms of logarithms of x, y, z, or w.

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Q: The graph of the logarithmic function y = log, x can be described as

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Q: Which function will have the fastest decrease in they-values?A. y = -1/3 logx 8. y =-2 logxC. y…

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Q: Find the present value of $4000 payable at the end of 4 years, if money may be invested at 6% with…

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

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Q: solve: loga (4x+4)= log₂ (-7x+19) = X= AS lenter DNE if no rolution)

A: topic - logarithmic equations

Q: Differentiate the following functions: 1. y = tan(log25x) + x. log3(sec x) 2. logyx = logxy %3D

A: We havey=tanlog2 5x +x.log3 (sec x)Let  u=tanlog2 5x     and    v=x.log3 (sec x)Now y=u+vdiff.…

Q: Consider a population of a certain country that is observed to grow exponentially. Based  from the…

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Q: Find the present value of $1000 payable at the end of 3 years, if money may be invested at 8% with…

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Q: Express log (x + 1)³ – 2log (x + 1) + 3 log (x – 1)²– log (x³ – 1) as a single logarithm

A: Logarithmic equation: A logarithmic equation is an equation involving the logarithm of an expression…

Q: Express sinh-1 x in terms of logarithms.

A: Let  y=sinh-1x⇒x=sinhy

Q: Differentiate implicitly to find y' log3 (x). tan cy+ 1) = y2 %3D

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Q: what is the compound interest if $43000 is invested for 5 years at 6% compounded continuously?

A: Given,           The compound interest if $43000 is invested for 5 years at 6% compounded…

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: If the present value of $1000 to be received in 5 years is $548.80, what rate of interest,…

A: Given values Present value, P=$1000 time, t=5 years Amount, A=$548.80 For calculating rate of…

Q: Suppose the rate of net investment is given by I (t) = Lnt, find the total capital accumulation…

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Q: Determine how much time is required for an investment to triple in value if interest is earned at…

A: Let P be the principal amount, then the triple amount of P is 3P.

Q: Create a function in VBA of the equation of exponential curve fitting of The Annual Revenues of…

A: it graph based problem  try to substitute each value of x from 0 to 5000 and with obtain values try…

Q: Explain why. A HOW IS the graph of flt) = logyt related to th graph of glt) - 4*?

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

A: a)

Q: Differentiate: 3. y = log₂ (x¹ - x)

A: y = log9(x4 -x) here logerithmic function is given  dlogax/dx = 1/x(lna) use this formula and chain…

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

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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: If logx = 4 and logy =7, then the value of -log is %3D xy

A: Given, logx = 4  and  logy = 7 We have to find the value of  -log1xy.

Q: Express in terms of logarithms of x, y, z, or w.

A: lnx y4z53 =lnx +ln y4z53 =lnx +ln y4z513  ln y4z513 =13ln y4z5 =13ln y4-ln z5 =134 ln y-5 ln z =4 ln…

Q: 2log x-1=log(x-1)

A: Given:  2logx -1=log(x-1)we know that alogb =logba   then 2logx=logx2Then    logx2-1=log(x-1)…

Q: In x

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Q: Express in terms of logarithms of x, y, z, or w.

A: Known fact:log mn=nlog mlog mn=log m-log nlog mn=log m+log n

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places..³- - x =…

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Q: Suppose $22000 is invested in an account for 6 years. Find the balance in the account if interest is…

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Q: Find all x- and y-intercepts of graph of y = -3 +log2(x2 - x +2).

A: Given function is y=-3+log2x2-x+2

Q: when expressed as a single logarithm: ln(y + 2) - (2ln6 + ln x) becomes

A: We make the coefficient into an exponent

Q: lim log, (8X – 4) x→∞

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

Q: what is an exponential function?  Is it continuous?

A: what is an exponential function?  Is it continuous?

Q: Why is  the logarithmic function  not defined for negative values of x, thesoftware can produce only…

A: The definition of logarithmic function is, logbx=y⇒by=x The output value of exponential function by…

Q: The graph of y = log2x  has been shifted three units up and two units to the left, what would be the…

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Q: -10 log x²

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Q: what is intergral log x /x

A: WE HAVE TO INTEGRATE

Q: 2 In x + 3 In y – In z

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Q: Differentiate. y= log 7x dx log 7x=

A: y=log7xTo differentiate.

Q: what is the natural logarithm of 1/exy?

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Q: how long will it take an investment of $25,000 to grow to $35,000 ast an anual interest rate of 5%…

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Q: If $2000 is invested at 7.2% compounded continuously, graph the amount in the account as a function…

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