La beauté des mathématiques

La beauté des mathématiques.

[cyruschang]

225 = 5(45) = 5(5)(3)(3)
a(log3) = b(log5) = 2(log3 + log5)
b = a(log3)/(log5)
ab/(a + b) = a(a)(log3)/(log5) ÷ a(1 + (log3)/(log5)) = (a)(log3)/(log5) ÷ (log5 + log3)/(log5)) = (a)(log3)/(log5 + log3) = 2(log3 + log5)(log3)/(log5 + log3) = 2log3