If a population doubles every 5 years, how many years will it take for the population to increase by 10 times it's original amount?

After ≈years the population will increased by times it's original amount.

Step-by-step explanation:

Given: If a population doubles every years.

Let be the original population and be the time in years.

As per question given that a population doubles every years, which means that our population is increasing exponentially.

Here, the equation can be written as follows:      .........(1)

Now, we have to find the time after which the population will be times its original amount.

Let us substitute in the above equation.

Taking the natural log of both sides we get:

Therefore, After ≈ years the population will increased by times it's original amount.

Learn more about Exponential function here:

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16.61 years.

Step-by-step explanation:

Let P be the original population and t be the time in years. We have been given that a population doubles every 5 years, which means that our population is increasing exponentially.

We can write an equation for our exponential function as:

To find the time after which our population will be 10 times its original amount let us substitute P(t)=10P is our equation.

Now let us solve for t.

Upon taking natural log of both sides we will get,

Therefore, it will take 16.61 years for the population to increase by 10 times it's original amount.

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