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Discipline: Math

Question topic: Functions: Logarithm

Source: Originais Teachy

Level of difficulty: Medium

(Originais Teachy 2023) - Question Medium of Math

Consider a technology company that records the number of users of a new application over time. The company has found that the graph that best describes this situation is a logarithmic function. The graph starts at point (1,0) and passes through point (10,1). Assuming that the x-axis represents the time (in months) since the launch of the application and the y-axis represents the logarithm (base 10) of the total number of users. Based on this information, what is the equation of the logarithmic function that represents the described situation? Additionally, using this function, how many users will the application have after 100 months since its launch?
a.
The equation of the function is y = log10(x) and the number of users after 100 months will be 100.
b.
The equation of the function is y = log10(x) and the number of users after 100 months will be 1000.
c.
The equation of the function is y = log10(x) and the number of users after 100 months will be 10.
d.
The equation of the function is y = log2(x) and the number of users after 100 months will be 100.
e.
The equation of the function is y = log10(x) and the number of users after 100 months will be 10000.

Answer:

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Functions: Logarithm
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