If log ₃2, log ₃(2ˣ - 5), log ₃(2ˣ - 7/2) are in an arithmetic progression, then the value of x is equal to _ _ _ _ _ _ _.

Sequence and Series: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Jul, Morning shift · Q49

JEE Main 202127 Jul, Morning shiftMathematicsMediumSequence and Series179× since 2002

{\log _3}2,{\log _3}({2^x} - 5),{\log _3}\left( {{2^x} - {7 \over 2}} \right)

are in an arithmetic progression, then the value of x is equal to _____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 27 Jul, Morning shift · Q49

JEE Main 202127 Jul, Morning shiftMathematicsMediumSequence and Series179× since 2002

{\log _3}2,{\log _3}({2^x} - 5),{\log _3}\left( {{2^x} - {7 \over 2}} \right)

are in an arithmetic progression, then the value of x is equal to _____________.

Your answerType your answer. Integers and decimals are accepted.