2=100^x

Lösung

2 = 10 0^{x}

x = \frac{ln ( 2 )}{2 ln ( 10 )}

Dezimale

x = 0.15051 \dots

Schritte zur Lösung

2 = 10 0^{x}

Wende Exponentenregel an

ln (2) = x ln (100)

Löse

ln (2) = x ln (100) : x = \frac{ln ( 2 )}{2 ln ( 10 )}

x = \frac{ln ( 2 )}{2 ln ( 10 )}

3^{x} + 3^{x - 1} + 3^{x + 1} = 117

4^{x + 3} = 1 6^{3 x - 3}

200000 = 700 (2)^{\frac{t}{30}}

102 4^{x + 1} = 1 6^{3 x + 4}

2 e^{3 x} = 30