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.
Is the converse of logarithmic rules valid?
2016-05-07 12:51 pm
回答 (6)
2016-05-07 12:58 pm
Yes. That's called the symmetric property.
2016-05-07 2:18 pm
TRUE
There is nothing to explain !
If a = b then b = a
There is nothing to explain !
If a = b then b = a
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.
Yes, it is the symmetric rule. If a=b, then b=a.
2016-05-07 4:49 pm
YES , IT HOLDS
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.
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.
2016-05-07 12:56 pm
Yes. They are valid.
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