Prova Resolvida EFOMM(2024 - 2025) - Matemática - Questão 06

JapaMath Courses: Combo Mathematics for AFA/EsPCEx Officers + EFOMM Extension: https://pay.hotmart.com/I87122556D . Mathematics for AFA/EsPCEx Officers: https://pay.hotmart.com/T76099449M . EFOMM Extension: https://pay.hotmart.com/Q86479408Y . Hey guys! How are you? . In this video we will answer question 06 of the EFOMM 2024 - 2025 admission exam. . I hope you like it. . Happy studying! Follow me on social media: Instagram:   / japamath_   Facebook:   / wellington.nishio   Telegram: https://t.me/JapaMath Question 6 What are the relations between a, b, c ∈ ℝ_+^∗, with a, b, c ≠ 1, a ≠ c and b ≠ 1/𝑐 so that the equation below is valid log_𝑎⁡〖(𝑏𝑐)^𝛽.log_𝑏⁡〖(𝑎/𝑐)^𝛼.〗 〖log_𝑐 𝑏〗⁡〖=𝛼𝛽[𝐴−𝐵+𝐶−𝐷]〗 〗, in which A = logc(a).loga(b).logb(a ) B = loga(b).logb(c).logc( a) C = loga(c).logc(a).logb(a) D = loga(c).logb(c).logc(a), such that α, β ∈ R*. (A) a + b = c (B) a − b = 0 (C) a + b + c = 1 (D) c − 2b = 0 (E) 2a + 3c = 1