Lösung 3.3:2b

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\displaystyle \mathop{\text{lg}} 10000 is that number which should stand in the coloured box in the equality

\displaystyle 10^{\bbox[#FFEEAA;,1.5pt]{\phantom{\scriptstyle ??}}} = 10000

and because

\displaystyle 10^4 = 10000

we see that \displaystyle \mathop{\text{lg}} 10000 = 4\,.