f(x)=log2[根号2sin(2x-π/3)]函数定义域求满足f(x)=0的x的取值范围

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f(x)=log2[根号2sin(2x-π/3)]函数定义域求满足f(x)=0的x的取值范围
f(x)=log2[根号2sin(2x-π/3)]
函数定义域
求满足f(x)=0的x的取值范围

f(x)=log2[根号2sin(2x-π/3)]函数定义域求满足f(x)=0的x的取值范围
log2[根号2sin(2x-π/3)]=0
根号2sin(2x-π/3)=1
sin(2x-π/3)=根号2/2
2x-π/3=2kπ+π/4,2x-π/3=2kπ+3π/4
2x=2kπ+7π/12,2x=2kπ+13π/12
x=kπ+7π/24,x=kπ+13π/24