Let \( \mathrm{N}=10^{3 \log 2-2 \log \left(\log 10^{3}\right)+\log \left(\left(\log 10^{6}\righ...
Let \( \mathrm{N}=10^{3 \log 2-2 \log \left(\log 10^{3}\right)+\log \left(\left(\log 10^{6}\right)^{2}\right)} \)
where base of the logarithm is math xmlns=http://www.w3.org/1998/Math/MathMLmn10/mn/math . The characteristic of the logarithm of \( \mathrm{N} \) to the base math xmlns=http://www.w3.org/1998/Math/MathMLmn3/mn/math , is equal to
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