Question

What is the solution to log (9x)-log 3 = 3?

Answer 1

The solution x =
`(e^(3) )/(3)`

Explanation:

Step 1:-

Given
`log(9 x) -log 3 =3`

we have to use formula
`log a-log b=log(a)/(b)`

`log(9 x)- log 3 = log((9 x)/(3) )` =
`3`

Again by using formula
`log a =b`

`a = e^(b)`

so
`(9 x)/(3) =e^(3)`

step 2:-

`3 x = e^(3)`

`x = (e^(3) )/(3)`

The solution of given problem is
`x=(e^3)/(3)`