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Solve log.(x² + x) - log, (x + 1) = 2.​

Answer»

log x+1 (x 2 +x−6) 2 =4(x+1) 4 =(x 2 +x−6) 2 ⇒2x 3 +17x 2 +16x−35=0⇒(x−1)(2x 2 +19x+35)=0⇒(x−1)(2x+5)(x+7)=0⇒x=1,−7,− 25 Now, from the given EQUATION it follows thatx+1>0,x+1=1,x 2 +x−6=0x>−1,x=0,x=−3,x=2⇒x∈(−1,0)∪(0,2)∪(2,∞)So,x=1 lies in this range.So, required VALUE =2Step-by-step explanation:PLZ is your answer is correctmark as brainliest answer plz...!



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