Is the converse of logarithmic rules valid?

2016-05-07 12:51 pm

log (m/n) = log m - log n
So is log m - log n = log (m/n) too?
Similarly,
log mn = log m + log n
So is log m + log n = log mn true too?
Pls explain.

回答 (6)

2016-05-07 12:58 pm

Yes. That's called the symmetric property.

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2016-05-07 2:18 pm

TRUE
There is nothing to explain !
If a = b then b = a

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2016-05-07 1:49 pm

" So is log m - log n = log (m/n) too?"
Yes, it is the symmetric rule. If a=b, then b=a.

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2016-05-07 4:49 pm

YES , IT HOLDS

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2016-05-07 12:57 pm

y = log mn.
mn = 10^ y,
let m= 10^a, n= 10^b,
mn= 10^a*10^b= 10^(a+b)= 10^y
Compare the two terms
a+b = y, log m +log n =y = log mn,
Proved.

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2016-05-07 12:56 pm

Yes. They are valid.

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