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26-04-2018
Mathematics

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if log10(x^2y^3) =7 and log 10(x/y) =1 then x = blank and y= blank

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26-04-2018

From the second equation we get
[tex] \frac{x}{y} =10[/tex]
Faim the first equation we get:
[tex]x^2y^3=10^7[/tex]
We have [tex]x=10y[/tex] then
[tex](10y)^2y^3=10^7\\y^5=10^5\\y=10[/tex]
Then [tex]x=10y=100[/tex]

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