3^x= 3/2

Lösung

3^{x} = \frac{3}{2}

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

Dezimale

x = 0.36907 \dots

Schritte zur Lösung

3^{x} = \frac{3}{2}

Wende Exponentenregel an

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

Löse

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

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

2^{x + 3} = 5^{x - 1}

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

10 e^{8 x + 3} + 2 = 8

8^{2 x + 1} = 3 4^{x - 1}

3^{x - 1} + 3^{x} + 3^{x + 1} = 117