![]() In the next examples, we will solve some problems involving pH. 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. Condense a logarithmic expression into one logarithm.Expand a logarithm using a combination of logarithm rules.In expressions of the logarithm of a product and a number, we can calculate them by firstly moving the multiple from the left side of the expression and raising the exponent to the power of that multiple. \log_a (b) - \log_a (c) = \log_a (b \div c) A number times log expression Subtraction of two logs with the same base is done by dividing their exponents: Example: Condensing Complex Logarithmic Expressions. \log_a (b) \log_a (c) = \log_a (b \times c) Subtracting logarithms If we have two logs with the same base and we want to add them – multiply their exponents: ![]()
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