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How do u solve for x. Log (logX)=3

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Konrad509idn
[tex]\log(\log x)=3\\ D:x>0 \wedge \log x>0\\ D:x>0 \wedge \log x>\log 1\\ D:x>0 \wedge \log x>1\\ D:x>1\\ 10^3=\log x\\ \log x=1000\\ x=10^{1000} [/tex]
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