If ${\log _e}\left( {{{a + b} \over 2}} \right) = {1 \over 2}({\log _e}a + {\log _e}b)$, then relation between $a$ and $b$ will be
If ${\log _e}\left( {{{a + b} \over 2}} \right) = {1 \over 2}({\log _e}a + {\log _e}b)$, then relation between $a$ and $b$ will be
- A
$a = b$
- B
$a = {b \over 2}$
- C
$a =2 b$
- D
$a = {b \over 3}$
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- [IIT 1990]
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