-11+(12)/T =-4ln(T)

Lösung

- 11 + \frac{12}{T} = - 4 ln (T)

T = - \frac{3}{W _{- 1} ( - \frac{3}{e ^{\frac{11}{4}}} )}, T = - \frac{3}{W _{0} ( - \frac{3}{e ^{\frac{11}{4}}} )}

Dezimale

T = 1.14889 \dots, T = 12.24312 \dots

Schritte zur Lösung

- 11 + \frac{12}{T} = - 4 ln (T)

Tausche die Seiten

- 4 ln (T) = - 11 + \frac{12}{T}

Teile beide Seiten durch

- 4

ln (T) = - \frac{- 11 T + 12}{4 T}

Wenn

f (x) = g (x),

dann

a^{f (x)} = a^{g (x)}

e^{l n (T)} = e^{- \frac{- 11 T + 12}{4 T}}

Vereinfache

e^{l n (T)} : T

T = e^{- \frac{- 11 T + 12}{4 T}}

Löse

T = e^{- \frac{- 11 T + 12}{4 T}} : T = - \frac{3}{W _{- 1} ( - \frac{3}{e ^{\frac{11}{4}}} )}, T = - \frac{3}{W _{0} ( - \frac{3}{e ^{\frac{11}{4}}} )}

T = - \frac{3}{W _{- 1} ( - \frac{3}{e ^{\frac{11}{4}}} )}, T = - \frac{3}{W _{0} ( - \frac{3}{e ^{\frac{11}{4}}} )}

Überprüfe die Lösungen:

T = - \frac{3}{W _{- 1} ( - \frac{3}{e ^{\frac{11}{4}}} )}

Wahr

, T = - \frac{3}{W _{0} ( - \frac{3}{e ^{\frac{11}{4}}} )}

Wahr

Die Lösungen sind

T = - \frac{3}{W _{- 1} ( - \frac{3}{e ^{\frac{11}{4}}} )}, T = - \frac{3}{W _{0} ( - \frac{3}{e ^{\frac{11}{4}}} )}

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