#Explanation required
(Cbse) class 10 question.
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We have to express 4log(m) - log(n) as an single logarithm
Given Expression,
Power Rule of Logarithm : alog(b) = log(b^a)
Division Rule of Logarithm : log(a) - log(b) = log(a/b)
Thus,the log expression can be rewritten as log(m⁴/n)
Properties of Logarithms :
- Log(a) + Log(b) = Log(ab)
- Log_b(a) = Log(a)/Log(b)
- Log(a) - Log(b) = Log(a/b)
- b Log (a) = Log(a^b)
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