4=3^x

Lösung

4 = 3^{x}

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

Dezimale

x = 1.26185 \dots

Schritte zur Lösung

4 = 3^{x}

Wende Exponentenregel an

ln (4) = x ln (3)

Löse

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

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

3^{x + 4} = 3^{2 x - 5}

3^{x + 1} - 3^{x - 1} = 72

2^{4^{2 x - 1}} = 4^{2^{x - 1}}

2^{x} + 2^{- x} = 2

5 e^{3 x - 4} = 25