Question

A town predicts that its population will double in e ^ In 10/ 2 In e years.

Simplify the expression. In how many years will the population of the town double?

Answer 1

`(e^(\ln 10))/(2\ln e)=(10)/(2)=5`

Answer 2

Answer: 5 years

Explanation:

Given : A town predicts that its population will double in
`(e^(\ln10))/(2\ln_e)` years.

We know that
`e^(\ln x)= x`

and the natural log of e =
`\ln_e=1`

Then , the expression
`(e^(\ln10))/(2\ln_e)` will becomes

`(10)/(2)=5`

Hence, The population of the town will be double in 5 years.