Question

If $log\frac{x}{y}+log\frac{y}{x}=log(x+y)$, find the value of $x+y$.

• A. 1

Answer 1

The correct option is A 1

On simplifying LHS,

$\log \frac{x}{y}+log\frac{y}{x}=log(\frac{x}{y}\times \frac{y}{x})=log1$

$\Rightarrow log(x+y)=log1$

$\Rightarrow x+y=1$