2^x=81

Lösung

2^{x} = 81

x = \frac{4 ln ( 3 )}{ln ( 2 )}

Dezimale

x = 6.33985 \dots

Schritte zur Lösung

2^{x} = 81

Wende Exponentenregel an

x ln (2) = ln (81)

Löse

x ln (2) = ln (81) : x = \frac{4 ln ( 3 )}{ln ( 2 )}

x = \frac{4 ln ( 3 )}{ln ( 2 )}

2^{x} = 29

4 (8^{x}) = 64

(\frac{1}{2})^{x - 1} = 2^{3 x - 4}

6^{2 x} = 3 \cdot 2^{x}

so l v e f or x, 2^{x} = 5