what is Find the relation between a and b if log10 ( a/b+b/a+2)=log104
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Given,
log10a+log10b=log10(a+b)
∴log10ab=log10(a+b) [∵loga+logb=logab]
∴ab=a+b.
Dividing throughout by b we get
a=ba+1⇒a−ba=1⇒a(1−b1)=1⇒a(bb−1)=1⇒a=b−1b
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