log5[log4(log3 81)]=0

分类: 作业答案 • 2021-12-19 12:06:25

问题描述：

答

log5[log4(log3 81)]
=log5[log4(log3 3^4)]
=log5[log4(4log3 3)]
=log5(log4 4)
=log5 1
=0

答

log5[log4(log3 81)]=log5[log4(log3 3^4)]=log5[log4 4]=log5 1=0

答

求值
log5[log4(log3 x)]=0
解方程
log4(log3 x)=5^0=1
log₃x=4¹=4
x=3⁴=81
证明：
log5[log4(log3 81)]
log5[log₄4]
=log5(1)
=0