log_{10}(12X)= 4/5

Lösung

lo g_{10} (12 X) = \frac{4}{5}

X = \frac{5 ^{\frac{4}{5}}}{6 5 2}

Dezimale

X = 0.52579 \dots

Schritte zur Lösung

lo g_{10} (12 X) = \frac{4}{5}

Wende die log Regel an

12 X = 1 0^{\frac{4}{5}}

Löse

12 X = 1 0^{\frac{4}{5}} : X = \frac{5 ^{\frac{4}{5}}}{6 5 2}

X = \frac{5 ^{\frac{4}{5}}}{6 5 2}

ln (2 x) - 5 ln (x^{2}) = 0

1 - lo g_{10} (w - 7) = 0

lo g_{10} (x) 7 = - 2

2 = lo g_{e} (x)

lo g_{10} (a) = 2.952