Question
Simplify $\log \left(\log x^4\right)-\log (\log x)$

Answer

$ \log \left(\log x^4\right)-\log (\log x)$
$=\log (4 \log x)-\log (\log x) \ldots . .\left[\log m^n=n \log m\right]$
$=\log 4+\log (\log x)-\log (\log x) \ldots . .[\log (m n)=\log m+\log n]$
$=\log 4 $

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