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已知4^m × 8^m-1 =512,求m的值
应该是:4^m × 8^m-1÷2^m=512,求m的值
+++++++讲解
人气:257 ℃ 时间:2020-06-26 01:01:05
解答
2^(2m)×2^(3m-3)÷2^m=2^9
2^(4m-3)=2^9
4m-3=9
m=3麻烦讲解一下为什么?2^(2m)×2^(3m-3)÷2^m=2^94=2²4^m=(2²)^m=2^(2m) 同理8^(m-1)=2^[3(m-1)]=2^(3m-3)512=2^92^(4m-3)=2^92^(2m+3m-3-m)=2^9 4m-3=9指数相等m=3
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