​ If log(a+b/2)=1/2 (log a + log b), then show that a = b.

Question

If log\(\left(\cfrac{a+b}{2}\right)=\cfrac{1}{2}\) (log a + log b),

then show that a = b.

Answer 1

log\(\left(\cfrac{a+b}{2}\right)=\cfrac{1}{2}\) (log a + log b)