erweitern log_{10}(x)(log_{10}(x)-6)

Lösung

erweitern

lo g_{10} (x) (lo g_{10} (x) - 6)

lo g_{10} (x)^{2} - 6 lo g_{10} (x)

Schritte zur Lösung

lo g_{10} (x) (lo g_{10} (x) - 6)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

lo g_{10} (x) (lo g_{10} (x) - 6) = lo g_{10} (x) lo g_{10} (x) - lo g_{10} (x) \cdot 6

= lo g_{10} (x) lo g_{10} (x) - lo g_{10} (x) \cdot 6

Vereinfache

lo g_{10} (x) lo g_{10} (x) - lo g_{10} (x) \cdot 6 : lo g_{10} (x)^{2} - 6 lo g_{10} (x)

= lo g_{10} (x)^{2} - 6 lo g_{10} (x)

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