Log m × Log n = ?
also type some rare formulas related to logarithms
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The formula of quotient rule [loga (M/N) = loga M - loga N] is stated as follows: The logarithm of the quotient of two factors to any positive base other than I is equal to the difference of the logarithms of the factors to the same base.
Let loga M = x ⇒ a sup>x = M
and Ioga N= y ⇒ ay = N
Now ax ∙ ay = MN or, ax + y = MN
Therefore from definition, we have,
loga (MN) = x + y = loga M + loga N [putting the values of x and y]
Corollary: The law is true for more than two positive factors i.e.,
loga (MNP) = loga M + loga N + loga P
since, loga (MNP) = 1oga (MN) + loga P = loga M+ loga N+ loga P
Therefore in general, loga (MNP ….... )= loga M + loga N + loga P + ……. .
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these are the rules ! : )
note it!!
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