0.09=0.5^n

Lösung

0.09 = 0. 5^{n}

n = \frac{ln ( 0.09 )}{ln ( 0.5 )}

Dezimale

n = 3.47393 \dots

Schritte zur Lösung

0.09 = 0. 5^{n}

Wende Exponentenregel an

ln (0.09) = n ln (0.5)

Löse

ln (0.09) = n ln (0.5) : n = \frac{ln ( 0.09 )}{ln ( 0.5 )}

n = \frac{ln ( 0.09 )}{ln ( 0.5 )}

2^{x - 1} = 7

1 0^{2 x + 1} = 4 \cdot 1 0^{x}

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

4^{5 - 3 x} = \frac{1}{8 ^{x + 1}}

4 \cdot 3^{x - 2} - 1 = 19