If \(2^x=3,\) then which of the following must be true?

[Vincen]

If \(2^x=3,\) then which of the following must be true?

A. \(1\frac13<x<1\frac12\)

B. \(1\frac12<x<1\frac23\)

C. \(1\frac23<x<1\frac34\)

D. \(1\frac34<x<1\frac56\)

E. \(1\frac56<x<2\)

Answer: B

Source: GMAT Club Tests