2log(x-y/2)=log x + log y +log 3 find the value of x/y+y/x
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Step-by-step explanation:
2log(x-y/2)=logxyz (∵logx +logy+logz=logxyz)
log(x-y/2)∧2=logxyz (∵2logx=logx∧2)
cancel the log from both sides
(x-y/2)∧2=xyz
(x-y)∧2/4=xyz
x∧2+y∧2+2xy=4xyz
divide by xy
x/y+y/x+2=4z
x/y+y/x=4z-2
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