If sum of the first 21 terms of the series …, where x > 0 is 504, then x is equal to

Sequences and Series

JEE Main 2021 · 20 Jul, Evening shift · Q5323

MathematicsEasy178×since 2002Q5323

If sum of the first 21 terms of the series

{\log _{{9^{1/2}}}}x + {\log _{{9^{1/3}}}}x + {\log _{{9^{1/4}}}}x + .......

, where x > 0 is 504, then x is equal to

JEE Main 2021 · 20 Jul, Evening shift · Q5323

MathematicsEasy178×since 2002Q5323

If sum of the first 21 terms of the series

{\log _{{9^{1/2}}}}x + {\log _{{9^{1/3}}}}x + {\log _{{9^{1/4}}}}x + .......

, where x > 0 is 504, then x is equal to