3=10^x

Lösung

3 = 1 0^{x}

x = \frac{ln ( 3 )}{ln ( 10 )}

Dezimale

x = 0.47712 \dots

Schritte zur Lösung

3 = 1 0^{x}

Wende Exponentenregel an

ln (3) = x ln (10)

Löse

ln (3) = x ln (10) : x = \frac{ln ( 3 )}{ln ( 10 )}

x = \frac{ln ( 3 )}{ln ( 10 )}

4^{x} - 2^{x} - 2 = 0

3^{x - 1} = 4

2^{x + 4} = e^{3 x}

x 16 = 4^{x}

100 0^{x} = 1000000