Question

Log m = x + y log n= x-y express the value of log m²n in terms of x and y

Answer 1

Answer:

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)

both are same

Step-by-step explanation:

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Answer 2

Answer: 3x – y

Step-by-step explanation:

log m = x+y

log n = x – y

log m² = 2 log m

So, 2 log m = 2(x + y) = 2x + 2y

log m²+log n = 2x+2y+x–y

Or, log m²n = 3x–y

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