Tìm số nguyên dương n sao cho: ${\log _{2018}}2019 + {2^2}{\log _{\sqrt {2018} }}2019 + {3^2}{\log _{\sqrt[3]}}2019 + ... + {n^2}{\log _{\sqrt[n]}}2019$ = 1010² . 2021² log₂₀₁₈ 2019

Tìm số nguyên dương n sao cho:

${\log _{2018}}2019 + {2^2}{\log _{\sqrt {2018} }}2019 + {3^2}{\log _{\sqrt[3]}}2019 + ... + {n^2}{\log _{\sqrt[n]}}2019$

= 1010² . 2021² log₂₀₁₈ 2019