Can Floor be equal to Ceiling? - 3

Algebra Level 4

2x=3x\Large 2^{\lfloor x \rfloor } = 3^{\lceil x \rceil }

The set containing all values of xx that satisfy the above equation is __________.


Notation: \lfloor \cdot \rfloor and \lceil \cdot \rceil denote the floor and ceiling functions respectively.

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