Question

if log x + y by 2 is equal to 1 by 2 log x + log Y prove that X is equal to y​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

log( \frac{x + y}{2} )  =  \frac{1}{2} ( log(x)  +  log(y) ) \\ or. \: 2 log( \frac{x + y}{2} )  =  log(x)  +  log(y)  \\ or. \:  { log( \frac{x + y}{2} ) }^{2}  =  log(xy)  \\ or. \:   \frac{ {(x + y)}^{2} }{4}  = xy \\ or. \:  {x}^{2}  + 2xy +  {y}^{2}  = 4xy \\ or. \:  {x}^{2}  - 2xy +  {y}^{2}  = 0 \\ or. \:  {(x  - y)}^{2}  = 0 \\ or. \: x - y = 0 \\ or. \: x = y.....{proved}

Hence ur answer is proved.

Hope I helped you