Question

If $log(x+1)+log(x-1)=log3$, then value of x is

• A. 3
• B. 2
• C. 1
• D. none of these

Answer 1

Answer: (B)

2

Consider the given equation.
$log(x+1)+log(x-1)=log3$
We know that
$log\left(m\right)+log\left(n\right)=log\left(mn\right)$
Therefore,
$log(x^2-1)=log3$
$x^2-1=3$
$x^2=4$
$x=2$
Hence, this is the answer.