When giving an assessment, we rarely ask students to expand and condense expressions, but we will ask them to identify or generate equivalent log expressions, or to apply the skill of expanding and condensing when solving a logarithmic equation. It is also a great opportunity to emphasize and review the idea of equivalence. We do suggest using the formal word “argument” to represent the input of the logs as this will provide a consistent language for talking about all of the log properties.Īlthough the skills of expanding and condensing logarithmic expressions might seem somewhat rote, this is an important sub-skill that students will use to solve logarithmic equations in the subsequent lessons. Ask students to make arguments and give reasoning for why certain statements are the same. Properties of Logarithms Name Date Period -1-Expand each logarithm. Expanding and condensing logarithms math lib by all things algebra.
![challenging expand and condense logarithms worksheet challenging expand and condense logarithms worksheet](https://i.ytimg.com/vi/mTwpQQr0a9s/maxresdefault.jpg)
![challenging expand and condense logarithms worksheet challenging expand and condense logarithms worksheet](https://www.tutoringhour.com/files/logarithms/condense-preview.jpg)
Most of the key ideas are discovered by the students themselves during the activity, so the debrief portion should be centered around question 8. Condense logarithms logarithm properties Expand and condense logarithms worksheet Logarithms expanding condensing. This works to spark curiosity and creativity and also assigns competence to students and their ideas. When students see that exponents are added when powers of the same base are multiplied, they can begin to reason about why adding two logs (which represent exponents!) would cause the arguments to be multiplied.įor question 9, challenge the class to come up with as many possible logarithmic expressions that are equal to 1.806 and display them publicly. We suggest giving a warm-up reviewing exponent properties to connect ideas later in the lesson. Web a compilation of problems in expanding and condensing logarithmic expressions that involve two and three terms, these free worksheets are the ultimate in. You got the exact same thing? Why do you think that would happen?) The students really enjoy this lesson and come away with a good understanding of why the properties work (especially the power rule). Condensing Logarithms What is included 1. Expand, condense, properties, equations voluntary worksheet logarithms: Web In This No Prep Digital Activity, Students Will Use Log Rules To Expand A Logarithmic Expression.
![challenging expand and condense logarithms worksheet challenging expand and condense logarithms worksheet](https://www.pdffiller.com/preview/420/676/420676994.png)
Your acting skills are needed in this lesson! As you monitor groups express your curiosity and astonishment about what is happening with their values (“Whoa, that’s strange. In this lesson students discover the log properties by looking at several examples and making conjectures.