#Condense the logarithm how to#
We will learn later how to change the base of any logarithm before condensing. We can use the rules of logarithms we just learned to condense sums, differences, and products with the same base as a single logarithm. It is important to remember that the logarithms must have the same base to be combined. Simplify/Condense log of x+ log of x2-16- log of 11- log of x+4. This helps us simplify expressions size-wise and save. Math Trigonometry Q&A Library Condensing a Logarithmic Expression In Exercises 61-76, condense the expression to the logarithm of a single quantity.
If you’re dealing with logarithms, which is not a rare case when you take math classes, the important task is to simplify given expression, reduce number of logarithms, etc. We can use the rules of logarithms we just learned to condense sums and differences with the same base as a single logarithm. Condensing logarithms are helpful when were given a long logarithmic expression haring similar bases.
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