Question

Log * (x + 1) + log (x - 1) = 3 * log 2 + log 3 , then X = (a) 5 (b) log 10 (c) 2 (d)-5 3​

Answer 1

Answer:

Given:

log(x+1)+log(x−1)=log3

⟹log(x+1)(x−1)=log3

Using multiplication rule of logarithms,

loga+logb=logab

Thus, log(x

2

−1)=log3

⟹⇒x

2

−1=3

⟹⇒x=±2

But x



=−2∵x−1>0⇒x>1

∴x=2

Hence, option C.

Step-by-step explanation:

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