计算log以2为底25乘以log以3为底2√2乘以log以5为底9的结果为A.3 B.4 c.5 D.6

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 21:43:57
计算log以2为底25乘以log以3为底2√2乘以log以5为底9的结果为A.3 B.4 c.5 D.6

计算log以2为底25乘以log以3为底2√2乘以log以5为底9的结果为A.3 B.4 c.5 D.6
计算log以2为底25乘以log以3为底2√2乘以log以5为底9的结果为
A.3 B.4 c.5 D.6

计算log以2为底25乘以log以3为底2√2乘以log以5为底9的结果为A.3 B.4 c.5 D.6
log以2为底25乘以log以3为底2√2乘以log以5为底9
=2log2 5×(3/2)log3 2×2log5 3
=6log2 5×log3 2×(log2 3/log2 5)
=6(log2 5×1/log5 2)×(log3 2×log2 3)
=6
选D