Mark the Correct alternative in the following: The values of x satisfying are

Question

Philoid · Accepted Answer

given log₃(x² + 4x + 12) = 2

It can be written as

log₃(x² + 4x + 12) = 2log₃3

= log₃3²

log₃(x² + 4x + 12) = log₃9

x² + 4x + 12 = 9

x² + 4x + 3 = 0

(x + 1) (x + 3) = 0

X = -1, -3.