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The inequality of high school math problems was solved by a great god.
Analysis shows that 2log(2)a+log(2)b≥ 1, that is, log(2){a? B}≥ 1, so, a? b≥2a,b,> 0

3 a+9 (2b) = 3 a+3 (4b) ≥ 2 √ [3 (a+4b)], if and only if a=4b, take the equal sign.

When a=4b, then, a? b= 16b? ≥2, therefore, b≥ 1/2, and the minimum value of b is 1/2, so a=2 at this time.

Therefore, 3 A+9 (2b) ≥ 2 √ [3 (2+2)] = 18.

Then, the minimum value is 18.