已知2^m=3,2^n=4,2^k=5,求2^m-2n=3k的值

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已知2^m=3,2^n=4,2^k=5,求2^m-2n=3k的值已知2^m=3,2^n=4,2^k=5,求2^m-2n=3k的值已知2^m=3,2^n=4,2^k=5,求2^m-2n=3k的值∵2^m

已知2^m=3,2^n=4,2^k=5,求2^m-2n=3k的值
已知2^m=3,2^n=4,2^k=5,求2^m-2n=3k的值

已知2^m=3,2^n=4,2^k=5,求2^m-2n=3k的值
∵2^m=3,2^n=4,2^k=5
∴2^(m-2n+3k)
=2^m÷2^(2n)×2^(3k)
=3÷(2^n)²×(2^k)³
=3÷4²×5³
=3÷16×125
=375/16
=23又7/16