log₃8 x log₂49 x log7 27=?
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/23 12:55:02
![log₃8 x log₂49 x log7 27=?](/uploads/image/z/7110193-49-3.jpg?t=log%26%238323%3B8+x+log%26%238322%3B49+x+log7+27%3D%3F)
log₃8 x log₂49 x log7 27=?
log₃8 x log₂49 x log7 27=?
log₃8 x log₂49 x log7 27=?
log₃8 x log₂49 x log7 27
=lg8/lg3xlg49/lg2xlg27/lg7
=3lg2/lg3x2lg7/lg2x3lg3/lg7
=3x2x3
=18
原式=lg8/lg3×lg49/lg2×lg27/lg7
=3lg2/lg3×2lg7/lg2×3lg3/lg7
约分
=3×2×3
=18