![]() There is a scavenger hunt and a circuit worksheet for each version. ![]() There are two versions: Version 1 has a total of 18 problems and Version 2 has a total of 12 problems. In the next examples, we will solve some problems involving pH. Students need to know how to condense and expand logarithmic expressions using both numbers and variables using the power rule, product rule, and quotient rule for logarithms. ![]() 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. Condensing Logarithmic Expressions Simplify/Condense log of x+ log of x2-16- log of 11- log of x+4.log 3 x + log 3 y log 3 z ( log 3 x + log 3 y) log 3 z log 3 x y log 3 z Product Rule. Log Rule for differentiation and the change-of-base formula, loga x (ln x)(. Let’s group the terms that are to be added up first, then condense them by using the product rule of logarithms. Expand a logarithm using a combination of logarithm rules. Condense the logarithmic expression log 3 x + log 3 y log 3 z into a single logarithm.
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