log3 25×log2 27×log5 2^-3=_____

来源:学生作业帮助网 编辑:作业帮 时间:2024/09/29 16:03:52
log3 25×log2 27×log5 2^-3=_____
xA! E’!!mp\G Q@\̖cL\Ȣ?ߗoVYµ h)~Dsr-E[- Ggwrf:Zpr$_KZY'6R9GIFx ex L

log3 25×log2 27×log5 2^-3=_____
log3 25×log2 27×log5 2^-3=_____

log3 25×log2 27×log5 2^-3=_____
log3 25×log2 27×log5 2^-3
=(2lg5/lg3)(3lg3/lg2)(-3lg2/lg5)
=2*3*(-3)
=-18

2lg5/lg3×3lg3/lg2×(-3lg2/lg5)
=-18

=log25/log3 * log27/log2 *log2^-3 / log5
=2log5/log3 * 3log3/log2 *3log2/log5
=6log5/log2 * 3log2/log5=18