Why is the base of an exponential function restricted to positive numbers not including 1?

Q: Every exponential function is a power of the natural exponential function.True or false?

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Q: when can you say that a given function illustrates exponential

A: Exponential functions and logarithmic functions are considered to be the inverses of each other as…

Q: What is the exponential function?

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Q: f(x) = 7-

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Match the formula of the exponential function to its graph.

A: We have to match the graphs with the given exponential functions.

Q: Suppose an insect population increases by a constant percentage each month. Explain why the number…

A: Exponential growth increases at an expanding rate with the rate of change for y being proportional…

Q: If logx(1 / 8) = -3 / 4, than what is x?

A: Given,

Q: What are the Exponential Functions?

A: To define the exponential function.

Q: In(x + 1))

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Q: The rate of change of any exponential function is always positive. True False

A: True

Q: For an exponentially growing quantity that grows at a rate of 4.0% per year, approximate the number…

A: topic - exponential function

Q: Explain why f (x) = x 3 does not grow exponentially .

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Q: A sample of bacteria initially has 1,500 cells/L. After 5 days, the sample contains 10,000 cells/L.…

A: Given that: Initial bacterial concentration = 1500 cells/LAfter 5 days, sample contains = 10000…

Q: Why does the formula for exponential growth look familiar?

A: Exponential growth function looks like f(x)=a(1+r)x, where a is initial amount            r is…

Q: An account now contains $3,670 and has been accumulating interest at 5% annual interest, compounded…

A: We have to find the amount in the account 5 years ago.

Q: Describe the graph of an exponential function that has 0 < b < 1.

A: Please find attachment for the details solution

Q: Find the time it takes for $8,900 to double when invested at an annual interest rate of 2%,…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Explain why the fx) = x is not an exponential function.

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Q: Complete the table below using the exponential growth formula. Original Growth Rate per Amount Year…

A: We can answer the question as below.

Q: What is the domain of this exponential function?

A: Domain of an exponential function is all real number

Q: Whats the relation between an exponential and logarithmc function with the same base?

A: Relation between Exponential and logarithmic function with same base

Q: Find the equation of the exponential function whose graph is shown below f(x)=

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Q: The homeowrk question says to solve the exponential equation algebraically, which im having touble…

A: Consider the given equation

Q: Suppose that the bacteria in a colony can grow unchecked, by the law of exponential change. The…

A: The colony starts with 1 bacterium and doubles every half-hour.So doubling time of the bacteria =…

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

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Q: In contrast, FarmerBooks.com's (a competitor of OHaganBooks.com) stock were increasing at a…

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Q: Explain why the f(x)=x^2 is not an exponential function.

A: The  exponential function is of the form f(x)=abx, where b&gt;0,b≠1. That is, the simple exponential…

Q: If log₁₀ x = 5, what is the value of x?

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Q: In 2003, 182 deer were introduced into a wildlife refuge area from which the population had…

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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: What is the Exponential Behavior?

A: If the graph of a function shows rapidly increasing values of y with respect x, is called to be an…

Q: how to use a calculator to approximate an exponential function like 23.4 or 32.4 Or can you show me…

A: In order to approximate the value 23.4 or 32.4, turn on T1-83 calculator and then click the MODE…

Q: why are logarithms necessary for solving exponential equations like  50=4(2/3)^2x-1?

A: Solution of an equation is the value of variable for which equation is true. There are many ways to…

Q: Someone notices that the number of gopher holes in their yard seems to be increasing exponentially.…

A: This is a exponential growth rate problem

Q: The number of women graduating from 4-yr colleges in a particular country grew from 1930, when…

A: Let N(t)=Cekt...........Equation (A)   Given- In year 1930, 48,829 women earned a bachelor's degree…

Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: Since the population increases by law of exponential growth.

Q: The population of a new city started at 1,200; however, it grew at a rate of 2% each year. Express…

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Q: What is the exponential form of log2(x) = 5?

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Q: If $15000 is invested in an account at an interest rate of 3.5% compounded yearly, which exponential…

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Q: an effort to control vegetation overgrowth, 65 rabbits are released in an isolated area free of…

A: Given : a =65  t = 2 Total = 585

Q: An element with a mass of 120 grams decays by 27.5% per minute. What is the exponential equation…

A: Let us suppose that the initial mass of the element is M0 Let the mass after time t minutes be Mt…

Q: The hourly wage of workers was raised once a year and grew exponentially from $7.007.00 to $9.879.87…

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

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

Q: What is the main features that introduced by the exponential function? explain using only equations.

A: An exponential function is a function in which we have the independent variable as the exponent and…

Q: In contrast, FarmerBooks.com's (a competitor of OHaganBooks.com) stock were increasing at a…

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Q: A house purchased for $20,000 at an interest rate of 2% and was just sold for $60,000. Assuming…

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Q: What is an exponential equation?

A: The exponential function is one of the most important functions in mathematics (though it would have…

Q: A scientist begins with 100 mg of a radioactive substance that decays exponentially. After 35…

A: It is given that 50 mg of the substance remains after 35 hours. SO half of the substance remains…

Q: A culture of 200200 bacteria growing in a Petri dish doubles in size every 33 hours.  The number of…

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