if x^2+y^2=3xy then prove that 2log(x-y) =logx+logy...

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Nimisha02 @Nimisha02

June 2022 1 30 Report

if x^2+y^2=3xy then prove that 2log(x-y) =logx+logy

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ask16
$= > {x}^{2} + {y}^{2} - 2xy = xy \\ = > {(x - y)}^{2} = xy \\ now \: take \: log \: both \: the \: sides \\ = > log( {(x - y)}^{2} ) = log(xy) \\ = > 2 log(x - y) = log(x) + log(y)$
properties used here are

$log( {a}^{b} ) = b \: \: log(a) \\ log(ab) = log(a) + log(b)$

for this question to be valid x and y should be positive real number.

Nimisha02 yeah ok

Nimisha02 wait..

Nimisha02 let me copy it in my notes

ask16 then please do that

Nimisha02 Brainliest option isnt dere when it vl be i vl surely do it..

ask16 ok

ask16 thankx

ask16 dekh yar wo hindi wale me bhi aa gaya hoga

Nimisha02 nhi.. nhi aaya

Nimisha02 jab aata tab pakka krti..

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