a chemist has been tracking the amount of bacteria grown over a period of days(x). the chemist's data is shown in the table. what is the inverse function of the chemist's exponential function shown in the table?

Step-by-step explanation:

Lets first identify the function using the given data.

Clearly we can see the trend in the data.

The value of the function is

So,

Now we find the inverse of the function.

Let be the inverse function.

Now substitute in the place of and in the place of in the above equation.

So,

Applying logarithm on both sides,

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