75=27^x

Lösung

75 = 2 7^{x}

x = \frac{ln ( 75 )}{3 ln ( 3 )}

Dezimale

x = 1.30998 \dots

Schritte zur Lösung

75 = 2 7^{x}

Wende Exponentenregel an

ln (75) = x ln (27)

Löse

ln (75) = x ln (27) : x = \frac{ln ( 75 )}{3 ln ( 3 )}

x = \frac{ln ( 75 )}{3 ln ( 3 )}

2^{3 x} = 4^{2 x - 1}

e^{7 x} = 17

lo g_{10} (x^{l o g_{10} (x)}) = 1

e^{7 x} = 10

3^{x} = \frac{1}{5}