a^x=b^y=c^z and abc =1 prove that 1/x + 1/y + 1/z =1
a^x=b^y=c^z and abc =1 prove that 1/x + 1/y + 1/z =1
aakash , 7 Years ago
Grade 9
9 grade maths> a^x=b^y=c^z and abc =1 prove that 1/x + 1...
1 AnswersSoumya Ranjan Mohanty
Last Activity: 7 Years ago
see question is wrong as 1/x + 1/y + 1/z = 0 , proving below:
let a^x=b^y=c^z=k => a=k^ (1/x) and b=k^ (1/y) and c=k^ (1/z)
as abc = 1 , k^(1/x)*k^(1/y)*k^(1/z)=1 => k^(1/x +1/y +1/z)=k^0
=> 1/x +1/y +1/z = 0 (proved) question given wrong, instead of 1, it should be 0.
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