Fill in the Blank

A corporate planning team is projecting the growth of user licenses needed over time, which follows the geometric sequence {}3, 6, 12, 24, dots where a1=3a_1 = 3 and r=2r = 2. To find the number of licenses needed in the 12th period (a12a_{12}) using the formula an=a1rn1a_n = a_1 r^{n-1}, the team sets up the equation a12=32xa_{12} = 3 \cdot 2^x. Based on the formula, the numerical value for the exponent xx should be ____.

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Updated 2026-06-03

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