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Let , 3^x=5^y=75^x=m, then
3=M^1/2 and 75=M^1/2
Also, 75 can be written as: 75=5^2*3
M^1/2=M^2/Y+M^1/2
1/z=2/y+1/x
zy/z=2x+y
z=xy/2x+y
hence proved
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