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Exponentials & logarithms

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!

The 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!

Graphs of exponential functions

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Transforming exponential graphs
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Transforming exponential graphs (example 2)
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Graphing exponential functions
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Exponential function graph
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Graphs of exponential functions (old example)
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Practice
Graphs of exponential functionsGet 3 of 4 questions to level up!

Graphs of logarithmic functions

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Graphical relationship between 2ˣ and log₂(x)
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Shape of a logarithmic parent graph
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Graphs of logarithmic functions
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Practice
Graphs of logarithmic functionsGet 3 of 4 questions to level up!

Logarithmic scale (optional)

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Logarithmic scale (with Vi Hart)
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Logarithmic scale
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Richter scale
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Benford's law (with Vi Hart, 1 of 2)
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Benford's law (with Vi Hart, 2 of 2)
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About this unit

Learn about logarithms, which are the inverses of exponents. Use logarithms to solve various equations. Then analyze both logarithmic and exponential functions and their graphs.