Find domain of function f(x)=log(cos(logx))
At the beginning x>0
but I have no idea how to handle logarithm
cos(logx)>0logx>arccos0=π2logx>log10π2⇒x>10π2
I think I'm doing something wrong
Answer
We need
x>0
cos(logx)>0
⟹0≤logx<π2∪−π2+2nπ<logx<π2+2nπ
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