The other piece of math we'll need is the *logarithm function*, which very roughly maps their input numbers to powers.
In particular, if 𝑎 = log_𝑏(𝑐), then 𝑐 = 𝑏^𝑎. For example, log₁₀(100) = 2, since 10² = 100. Similarly, log₂(32) = 5 since 2⁵ = 32.
(Sometimes I'll just write "log" as shorthand for "log₁₀".)
The logarithm function has some pretty nice properties, including that log(𝑥𝑦) = log(𝑥) + log(𝑦); that is, logarithms turn multiplication into addition.
Xandra Granade 🏳️⚧️ /
npub1hz…5lzy3
2024-06-18 02:30:33
in reply to nevent1q…j3lf
Author Public Key
npub1hzvzdrx8mnxqy9m4xupkce4krf564qac2yfpupw9w80r88z8zkxsw5lzy3Published at
2024-06-18 02:30:33Event JSON
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"content": "The other piece of math we'll need is the *logarithm function*, which very roughly maps their input numbers to powers.\n\nIn particular, if 𝑎 = log_𝑏(𝑐), then 𝑐 = 𝑏^𝑎. For example, log₁₀(100) = 2, since 10² = 100. Similarly, log₂(32) = 5 since 2⁵ = 32.\n\n(Sometimes I'll just write \"log\" as shorthand for \"log₁₀\".) \n\nThe logarithm function has some pretty nice properties, including that log(𝑥𝑦) = log(𝑥) + log(𝑦); that is, logarithms turn multiplication into addition.",
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