log x + log y equals to 7 then log root x ylog x + log Y = 27 then log root x y value
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Step-by-step explanation:
Ans x=1000, y=100
Equation 1
log x/log y = 3/2
2 log x = 3 log y
Equation 2
log(xy) = 5
logx +logy = 5
Using Equation 1 i.e log y = 2/3 log x in 2
3 log x + 2 log x = 15
Therefore log x=3
Using Log x value in equation 2
we get, log y=2
log x = 3, log y = 2
x = 10^3, y = 10^2
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