Question

Find the value of x in the following:

`log_(sqrt(3)) (x + 2) = 2`

Answer 1

To solve `log_(sqrt(3)) (x + 2) = 2`, convert it to exponential form:

`sqrt(3)^2 = x + 2`

Since `sqrt(3)^2 = 3`, we get:

3 = x + 2

⇒ x = 3 – 2

⇒ x = 1