Question

solve x+1 log 2=x-1 log 3
explain step by step​

Answer 1

Step-by-step explanation:

Answer

Correct option is

B

2

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