(1/2)^x=0.26

Lösung

(\frac{1}{2})^{x} = 0.26

x = - \frac{ln ( 0.26 )}{ln ( 2 )}

Dezimale

x = 1.94341 \dots

Schritte zur Lösung

(\frac{1}{2})^{x} = 0.26

Wende Exponentenregel an

x ln (\frac{1}{2}) = ln (0.26)

Löse

x ln (\frac{1}{2}) = ln (0.26) : x = - \frac{ln ( 0.26 )}{ln ( 2 )}

x = - \frac{ln ( 0.26 )}{ln ( 2 )}

so l v e f or a, 2^{a - b} = 2016

3^{x} + 3^{x + 2} = 7290

\frac{5}{2 \cdot 2 ^{x} - 2 ^{x} - 2 ^{- 1}} = 16

1 1^{9 x} = 4^{- x + 7}

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