帮忙换底化简下列:logaC*logcA .log2 3 * log3 4 * log4 5 * log5 2
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![帮忙换底化简下列:logaC*logcA .log2 3 * log3 4 * log4 5 * log5 2](/uploads/image/z/1344575-47-5.jpg?t=%E5%B8%AE%E5%BF%99%E6%8D%A2%E5%BA%95%E5%8C%96%E7%AE%80%E4%B8%8B%E5%88%97%3AlogaC%2AlogcA+.log2+3+%2A+log3+4+%2A+log4+5+%2A+log5+2)
帮忙换底化简下列:logaC*logcA .log2 3 * log3 4 * log4 5 * log5 2
帮忙换底化简下列:logaC*logcA .log2 3 * log3 4 * log4 5 * log5 2
帮忙换底化简下列:logaC*logcA .log2 3 * log3 4 * log4 5 * log5 2
1、logaC×logcA= logaC×(1/logaC)=1
2、log2 3 × log3 4 × log4 5 × log5 2
=[1/(log3 2)]×2log3 2×[1/(log5 4)]×log5 2
=2×[1/2(log5 2)]×log5 2
=2×(1/2)
=1