log mn is equal to
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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.
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log mn = logm + logn
Explanation:
Given that, log mn.
- This relationship can be expressed in terms of common logarithms as log mn = log m + log n.
- For instance, it is possible to determine 100 × 1,000 by finding the antilogarithm (100,000) in the table, looking up the logarithms of 100 (2) and 1,000 (3), adding the logarithms (5), and then computing the original number.
- An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation.
- Check to verify if you can write both sides of the equation as powers of the same number before attempting to solve an exponential equation.
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