数列{b_n}是递增的等比数列，且b₁+b₃=5，b₁b₃=4．

（I）求数列{b_n}的通项公式；

（II）若a_n=log₂b_n+3，且a₁+a₂+a₃+…+a_m≤42，求m的最大值．

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