Hey, I found an interesting algebra problem combined with log. It was quite an unique one so I wanted to share it with you guys.
Problem: There is a city where the population increases at a constant rate. At the end of 2016, the population of the city was 2 times larger than the population...
Here is a problem I found which is from a math class in 1957:
A man is standing due East of a tower and notes it subtends an angles of 45 degrees with the tower.
He walks South 42.4 feet and the subtended angle is 30 degrees.
How tall is the tower?
(You are only allowed to use only...
The famous game-theoretic couple, Alice & Bob, live in the set-theoretic universe, V, a model of ZFC. Just like many other couples they sometimes argue over a statement, σ, expressible in the language of set theory. (One may think of σ as a family condition/decision in the real life, say having...
This question is inspired by one question, which was about representations that can be realized homologically by an action on a graph (i.e., a 1-dimensional complex).
Many interesting integral representations of groups arise via homology from a group acting on a simplicial complex that is...
Can you figure out what the answer of (x-a)(x-b)(x-c)...(x-z) is?
This problem seems very tricky and you might think you need to expand one by one, but if you think carefully, you will find out that the answer is very simple!
Solution: