Given that log x =m+n and log y =m-n,the value log 10x/y2 is expressed in terms of m and n as
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We know that according to the quotient law we can write log (10x/y2) as
log 10x – log y2
Now applying the law of product & power we get
log 10 + log x – 2 log y
We know that value of log 10 = 1.
Putting its value we get, 1 + (m+n) – 2(m-n) = 1 - m + 3n (Ans)
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