log√2 9 *log27 32

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/23 23:26:26
log√29*log2732log√29*log2732log√29*log2732解=[log9/log√2]*[log32/log27]=[log9/log27]*[log32/log√2]=[2

log√2 9 *log27 32
log√2 9 *log27 32

log√2 9 *log27 32

=[log 9/log√2]*[log32/log27 ]
=[log 9/log27]*[log32/log √2]
=[2/3]*[5/(1/2)]
=20/3

log√2 9=4㏒2底3
log27 32=5/3㏒3底2
log√2 9 *log27 32=20/3

原式=lg9/lg√2*lg32/lg27
=2lg3/(1/2)lg2*5lg2/3lg3
=4lg3/lg2*5lg2/3lg3
=4*5/3
=20/3