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CONDENSE THE LOGARITHM HOW TO

When condensing logarithms, our goal is to compress the expressions altogether by using different logarithmic properties. Condensing logarithms are helpful when were given a long logarithmic expression haring similar bases. The next section will show you how condensing logarithms is the opposite of expanding logarithms.

CONDENSE THE LOGARITHM HOW TO

We will learn later how to change the base of any logarithm before condensing. For our purposes in this section, condensing a multiple of a logarithm means writing it as another single logarithm. It is important to remember that the logarithms must have the same base to be combined.

Learn how to apply the different logarithmic rules and properties. We can use the rules of logarithms we just learned to condense sums and differences with the same base as a single logarithm.

Solution Let’s group the terms that are to be added up first, then condense them by using the product rule of logarithms.

Refresh the difference between common and natural logarithms. Condense the logarithmic expression log 3 x + log 3 y log 3 z into a single logarithm.

Make sure to review the different parts and fundamental definitions of logarithms. When were asked to expand a logarithm, we will be given a single log expression and are expected to write it as the sum and/or difference of several simpler.

This article makes use of various concepts we’ve learned in the past, so make sure to review these topics on logarithms before diving right into our main topic – condensing logarithms. This helps us simplify expressions size-wise and save space by combining the expressions that share common bases.Ĭondensing logarithmic expressions is the process of using different logarithmic properties to combine different logarithmic terms into one quantity. Further we try to convert the denominator also in logarithmic function with base 5. Condensing Logarithms – Properties, Explanation, and ExamplesĬondensing logarithms are helpful when we’re given a long logarithmic expression haring similar bases. All the logarithmic terms have common base 5.