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

Let or or 2 But for which is not possible. ...

If \log_{3}2,\log_{3}( 2^{x} - 5 ),\log_{3}( 2^{x} - \frac{7}{2} ) are in an arithmetic progression, then the value of x is equal to: Sequence & Series (Mathematics)

\log_{3}2,\log_{3}\left( 2^{x} - 5 \right),\log_{3}\left( 2^{x} - \frac{7}{2} \right)

are in an arithmetic progression, then the value of

x

is equal to