Overview
On this page, we introduce logarithms, how to convert between exponential form and logarithmic form, and how to solve some exponential and logarithmic equations.
Basic Learning Objectives
These are the tasks you should be able to perform with reasonable fluency when you arrive at your next class meeting. Important new vocabulary words are indicated in italics.
- Recall the exponent laws, and how they can be applied to simplify expressions with exponents.
- Evaluate the logarithm of a number by rewriting the number as a power of the base of the logarithm.
Advanced Learning Objectives
In addition to mastering the basic objectives, here are the tasks you should be able to perform after class, with practice:
- Solve exponential equations by writing both sides on a common base.
- Solve logarithmic equations by writing them in exponential form.
To prepare for class
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Watch the following video (by Don’t Memorise) which introduces logarithms and shows how to convert between exponential and logarithmic form:
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Watch the following video (by The Organic Chemistry Tutor) which introduces logarithms and shows how to evaluate logarithms without a calculator:
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Watch the following video (by Tyler Wallace) which shows how to convert between exponential and logarithmic form:
After class
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Watch the following videos (by Tyler Wallace) which show examples of how to solve exponential equations by writing both sides on a common base:
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Watch the following video (by Tyler Wallace) which shows examples of how to solve logarithmic equations by writing them in exponential form:
