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ln{(a + b)/2 } = 1/2{ lna + lnb }
ln{ (a + b)/2 } = lna½ + lnb½
ln{ (a + b)/2} = ln(ab)½
(a + b)/2 = (ab)½
(a + b) = 2(ab)½
take square both sides ,
(a + b)² = 4ab
a² + b² + 2ab = 4ab
a² + b² = 2ab
(a² + b² - 2ab ) = 0
(a - b)² = 0
(a - b) = 0
a = b
ln{ (a + b)/2 } = lna½ + lnb½
ln{ (a + b)/2} = ln(ab)½
(a + b)/2 = (ab)½
(a + b) = 2(ab)½
take square both sides ,
(a + b)² = 4ab
a² + b² + 2ab = 4ab
a² + b² = 2ab
(a² + b² - 2ab ) = 0
(a - b)² = 0
(a - b) = 0
a = b
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