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The values of x satisfying (log)3(x^2+4...

The values of `x` satisfying `(log)_3(x^2+4x+12)=2` are (a) `2,-4` (b) `1,-3` (c) `-1,3` (d) `-1,-3`

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Given `log_3​(x^2+4x+12)=2 `
⇒`x^2+4x+12=3^2`
⇒`x^2+4x+12−9=0`
⇒`x^2+4x+3=0`
⇒`x^2+3x+x+3=0`
⇒`(x+1)(x+3)=0`
`x = -1 , -3`
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