Eddie found some data in his internet research that shows a connection between the fruit fly population and the temperature.
The data can be modeled with the exponential function f(x) = 2x, with x representing the number of fruit flies.
Show and explain how he can convert this equation into a logarithmic function when the temperature is 72 degrees.
Answers
Answer:
IDK
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Step-by-step explanation:
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Given : Eddie found some data in his internet research that shows a connection between the fruit fly population and the temperature. f(x) = 2ˣ
To find : convert this equation into a logarithmic function
Solution:
f(x) = 2ˣ
x = number of fruit flies.
f(x) = temperature
Taking log both Sides
=> log (f (x) ) = log 2ˣ
=> log (f (x) ) = x log 2
=> x = log (f(x)) / log 2
or x = log₂f(x)
temperature is 72 degrees
=> f(x) = 72°
=> x = log72 / log 2 = 6.17
x = log (f(x)) / log 2 or log₂f(x)
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