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Number of trees infected after t years:
The number of trees infected after t years is given by:
Question 1:
We have to find the number of years it takes to have 21 trees infected, that is, t for which:
Thus:
To isolate t, we apply the natural logarithm to both sides of the equation, and thus:
Thus, it will take 7.6 years for 21 of the trees to become infected.
Question 2:
We have to find the inverse function, that is, first we exchange y and x, then isolate x. So
Again, we apply the natural logarithm to both sides of the equation, so:
Thus, the logarithmic model is:
For an example of a problem that uses exponential functions and logarithms, you can take a look at brainly.com/question/13812761
For this case we have the following expression:
By definition, a constant term is a value that cannot be modified, does not vary.
It is observed that the first three terms of the expression depend on a variable, therefore they are not constant.
The fourth term "3" is the constant term of the expression.
Answer:
The constant term is 3