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Unit: Logarithms

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Possible mastery points

Introduction to logarithms

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Intro to logarithms
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Intro to Logarithms
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Evaluating logarithms (advanced)
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Relationship between exponentials & logarithms
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Relationship between exponentials & logarithms: graphs
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Relationship between exponentials & logarithms: tables
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Practice
Evaluate logarithmsGet 3 of 4 questions to level up!
Evaluate logarithms (advanced)Get 3 of 4 questions to level up!
Relationship between exponentials & logarithmsGet 3 of 4 questions to level up!

The constant e and the natural logarithm

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𝑒 and compound interest
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𝑒 as a limit
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Evaluating natural logarithm with calculator
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Properties of logarithms

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Intro to logarithm properties (1 of 2)
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Intro to logarithm properties (2 of 2)
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Intro to logarithm properties
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Using the logarithmic product rule
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Using the logarithmic power rule
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Using the properties of logarithms: multiple steps
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Proof of the logarithm product rule
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Proof of the logarithm quotient and power rules
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Justifying the logarithm properties
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Practice
Use the properties of logarithmsGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 400 Mastery points

Change of base formula for logarithms

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Evaluating logarithms: change of base rule
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Logarithm change of base rule intro
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Using the logarithm change of base rule
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Proof of the logarithm change of base rule
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Logarithm properties review
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Practice
Evaluate logarithms: change of base ruleGet 3 of 4 questions to level up!
Use the logarithm change of base ruleGet 3 of 4 questions to level up!

Solving exponential equations with logarithms

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Solving exponential equations using logarithms: base-10
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Solving exponential equations using logarithms
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Solving exponential equations using logarithms: base-2
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Practice
Solve exponential equations using logarithms: base-10 and base-eGet 3 of 4 questions to level up!
Solve exponential equations using logarithms: base-2 and other basesGet 3 of 4 questions to level up!

Solving exponential models

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Exponential model word problem: medication dissolve
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Exponential model word problem: bacteria growth
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Practice
Exponential model word problemsGet 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 500 Mastery points
Up next for you:

Unit test

Level up on all the skills in this unit and collect up to 900 Mastery points!

About this unit

Logarithms are the inverses of exponents. They allow us to solve hairy exponential equations, and they are a good excuse to dive deeper into the relationship between a function and its inverse.