Find a formula for the exponential function of the form f(x) = a· bª that passes through the points 4 (-2,-) and (2,36) y = Submit Question

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: 2 Solve log, (2 sinx) + log,(cosx) =-1, for 2n<x<-

A: According to Bartleby's guidelines. We are allowed to solve only 1 question ata time. Apologies for…

Q: What exponential function will pass through both (0,6) and (1,3)?

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Q: 2. The function f(x)= log₁0x has the point (10, 1) on its graph. Find the coordinates of the image…

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Q: Find the exponential equation in the form y=ab^x whose graph passes through the points ( -3,0.032)…

A: Solution: The objective is to find the exponential equation is of the form y=abx

Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: Consider the following exponential function: y=abx                                  ...... 1 Here,…

Q: Express th equation in exponential form.

A: a). Given, lnx+1=2 The exponential form is, x+1=e2         ∵lnx=y⇒x=ey⇒x=e2-1

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: The Gibbs Free Energy equation is given by the equation: AG = AG° + RTln Q Where: AG = Gibbs Free…

A: We have to find

Q: A certain quantity has an initial value of 8.2 and grows at a rate of 8.5% per year. Give an…

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Q: 7. Use linear approximation to approximate the value of log(99) without the need for a calculator.…

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Q: 8. Solve the equation log (3x+1)-log 2 = log11 for the value of x.

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Q: A saving account deposit of $150 is to earn 6.5% compounded continuously. What amount should have…

A: Use the formula for the compound interest and substitute the given values than simplify.

Q: y = loga 4x 6.

A: Differentiate with respect to x.

Q: Find a formula for the exponential function passing through the points (-2, - -) and (1,20) 16

A: -2,516 and 1,20 Let the exponential function be yn=abxn. Substitute both the point in the assumed…

Q: 2. Assuming no withdrawals during the investment, how many years will it take for $500, invested at…

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Q: Suppose that a particular pond can sustain up to 30,000 tilapia and that the undisturbed population…

A: The logistic model is given as: dP/dt = 4(1 - P/30000)P When P = 15000, we get, dP/dt = 4(1 -…

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

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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: 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: Find a formula for the exponential function passing through the points (-2, 4 over 25) and (2, 100).…

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Q: Determine if the given functions are LI or LD by computing the Wronskian : -2x Yi = e*,y2 = e*,y; =…

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

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Q: 1. Solve by using your calculator. log, (-3+2x)+log, (x +1) = log, 9² Round to nearest two decimal…

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Q: Find the equation for an exponential function that passes through the pair of points given below.…

A: Consider the general equation for exponential function. fx=aoekxFor 2,32, 32=aoe2kFor 4,512,…

Q: The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000…

A: Given:The initial number of mosquitoes is 1000. That is, P0 = 1000.The numbr of  mosquitoes is 1600…

Q: (a) Use the definitions of hyperbolic functions in terms of exponentials to prove that 8 cosh'x cosh…

A: a) LHS =  8cosh4x  =  8(cosh2x)2  =  8 * ((1/2)( cosh(2x) + 1))2  =  2 (cosh2(2x) + 2cosh(2x) + 1)…

Q: Match the exponential function with its graph. I II 2- III IV 2- (a) f(x) = -2x ---Select-- + (b)…

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Q: The table shows corresponding values of x and y obtained experimentally. By drawing a suitable graph…

A: Estimate the logarithmic values of x and y. Tabulate the values of x, y, log10x and log10y.  x y…

Q: 4. The expression log(sinx) – log(cos.x) , 0<x<, is equal to A. log(sin x cos x)

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Q: What is the present value of the firm’s revenue stream given that the time path for a firm’s revenue…

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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: Find all positive values of 'a' for which the equation log (ax) = 2 log (x + 1) has the unique root.

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Q: 1. Given that z=8-6i, write its exponential form. Round off decimal answers up to 3 decimal places.

A: Here, a=8b=6

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

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Q: A material has an initial of 15 units. Which equation models the amount of the material y, decaying…

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Q: find the present value of $10000 at the end of 25 years if money can be invested at 12% with…

A: We will use the compound interest formula to find the present value

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: How do I expand this logrithmic equation? In(x2 square root of y/z)

A: Given:

Q: solve for x, log(x+5)-log(x+2)=2 please show work.

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Q: Find a formula for the exponential function passing through the points (-2,- -) and (1,20) 25

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Q: 7. If logab = x³ and log, (÷), determine the value of x by showing all steps in using the…

A: Given logab=x3 and logb4x2 Now, logbc=k. Then, bk=c           . . . (1) Applying this rule here,…

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

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Q: Find a formula for the exponential function passing through the points (-2,2/9) and (1,6)

A: Find a formula for the exponential function passing through the points -2,29 and 1,6. Let y=abx be…

Q: 2 Find the exponential equation whose graph passes through the points (-2, 5 and (1,10)

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Q: Express th equation in exponential form.

A: (a) Given expression is log35=x. Express the above equation in exponential. logab=c, then…

Q: 2. Solve for x: log, (x² + 8x- 20)–log, (x-2) =2 Ans 2 x=.

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

A: We have to prove the result.

Q: At the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: Here, the exponential model is given by: P(t)=a×bt...(1) where P(t) is the number of cases after a…