I: If \(\frac{1}{b-a}+\frac{1}{b-c}=\frac{1}{a}+\frac{1}{c} \), then a, b, and c are in HP.
II: If three numbers are in GP, then their logarithms will be in AP.
Which of the following statement(s) is/are correct? Given that a, b, and c are positive real numbers.
1
Only I
2
Only II
3
Both I and II
4
None