Question

【logx(27)=6】【log64(x)=2/3(意思是3分之2)】【log2[log5(x)]=0】求x等于多少?

Answer 1

logx(27)=6

有对数定义

x^6=27=3^3=(√3)^6

底数x>0

所以x=√3

log64(x)=2/3

64^(2/3)=x

x=(4^3)^(2/3)=4^2

x=16

log2[log5(x)]=0

log2[log5(x)]=log2(1)

log5(x)=1=log5(5)

x=5