Everything Is Logarithms

🔢🤓 Breaking news: everything you ever learned about math is wrong, #logarithms are the universal truth! 💡 But wait—JavaScript isn't working, so good luck rendering those groundbreaking equations. Let's all just agree this blog post is the mathematical equivalent of reinventing the wheel, only to realize it's still round. 🌀
https://alexkritchevsky.com/2026/05/25/everything-is-logarithms.html #mathnews #JavaScript #issues #reinventingthewheel #groundbreakingequations #HackerNews #ngated
Everything Is Logarithms

Everything Is Logarithms

Alright, future engineers!
**Logarithm (log_b x):** The exponent 'y' you raise base 'b' to, to get 'x'.
Ex: `log_2 8 = 3` because `2^3 = 8`.
Pro-Tip: They're inverses of exponentials! Essential for solving for unknown exponents (e.g., in decay models).
#Algebra #Logarithms #STEM #StudyNotes

“In 1980, #Intel released the #Intel8087 #FloatingPoint coprocessor, a chip that could make math up to 100 times faster. As well as arithmetic and square roots, the 8087 computed #transcendental functions including #tangent, #exponentiation, and #logarithms.

But it all depended on a 69-bit adder: "The arithmetic heart of the floating-point execution unit is centered about a #nanomachine comprised of the adder and its related #registers, #shifters and control circuitry," as the patent describes it”

#Silicon / #EE / #Computing <https://www.righto.com/2026/06/intel-8087-adder-reverse-engineered.html>

The adder at the heart of Intel's 8087 floating-point chip

In 1980, Intel released the Intel 8087 floating-point coprocessor, a chip that could make math up to 100 times faster. As well as arithmetic...

Alright, future engineers!
**Logarithm:** The exponent you need to raise a base to get a number.
Ex: log₂(8) = 3 because 2³ = 8.
Pro-Tip: Logs are inverses of exponentials! Use them to solve for exponents or scale vast data ranges.
#Algebra #Logarithms #STEM #StudyNotes
Alright, future engineers!
**Logarithms** are the inverse of exponentiation: `log_b(x) = y` means `b^y = x`.
Ex: `log_2(8) = 3` because `2^3 = 8`.
Pro-Tip: Think 'what power of b gives me x?' Makes evaluating easy!
#Algebra #Logarithms #STEM #StudyNotes
Alright, future engineers!
A **Logarithm** answers What exponent do I need?. `log_b(x)=y` means `b^y=x`.
Ex: `log_2(8) = 3` because `2^3 = 8`.
Pro-Tip: `log(x)` (no base) usually means base 10; `ln(x)` means natural log (base e)!
#Algebra #Logarithms #STEM #StudyNotes
Alright, future engineers!
A **Logarithm** is the exponent you raise a base to get a certain number.
Ex: `log_10(100) = 2` because `10^2 = 100`.
Pro-Tip: Logs simplify complex multiplications/divisions into easier additions/subtractions!
#Algebra #Logarithms #STEM #StudyNotes
Alright, future engineers!
**Logarithms** are the *inverse* of exponentiation. `log_b(x) = y` means `b^y = x`. Ex: `log_10(100) = 2` (`10^2 = 100`). Pro-Tip: They turn multiplication into addition, simplifying complex calculations (e.g., pH, decibels)!
#AlgebraHacks #Logarithms #STEM #StudyNotes