Question

How do you solve `2\log { x } = 3+ \log ( \frac { x } { 20} )`?

Answer 1

Solution: `x=50`

Explanation:

`2 log(x) =3+ log(x/20) or 2 log(x) - log(x/20)= 3` or

`log(x)^2 - log(x/20)= 3 or log (x^2/(x/20))=3` or

`log ((20x^2)/x)=3 or log (20x) =3` or

`20x = 10^3 or 20x =1000 or x=50`

Solution: `x=50` [Ans]