1, solution: (2 6) 4× (2 3) 3 = 2 24× 2 9 = 2 33 = 2 x ∴ x = 33.

2. Solution:10 (3m+2n) = (10m) 3× (10n) 2 = 23× 32 = 8× 9 = 72.

3. Solution: ∵2x+5y-3=0∴2x+5y=3.

∴4^x×32^y=2^(2x)×2^(5y)=2^(2x+5y)=2^3=8

4. Solution: 355 = (35)11= 2431,444 = (44)1= 256 65438.

∵ 125 & lt； 243 & lt256∴5^33<； 3^55<； 4^44