We will learn later how to change the base of any logarithm before condensing.
It is important to remember that the logarithms must have the same base to be combined. In the next examples, we will solve some problems involving pH. We can use the rules of logarithms we just learned to condense sums and differences with the same base as a single logarithm. Further we try to convert the denominator also in logarithmic function with base 5. Taken together, the product rule, quotient rule, and power rule are often called “properties of logs.” Sometimes we apply more than one rule in order to expand an expression. All the logarithmic terms have common base 5. Condense a logarithmic expression into one logarithm.
used to condense expressions that involve the sum or difference of logarithms into a. 1 Condense the expression as a single logarithm. The properties of logarithms are often used to rewrite logarithmic.