83=17^x

Lösung

83 = 1 7^{x}

x = \frac{ln ( 83 )}{ln ( 17 )}

Dezimale

x = 1.55965 \dots

Schritte zur Lösung

83 = 1 7^{x}

Wende Exponentenregel an

ln (83) = x ln (17)

Löse

ln (83) = x ln (17) : x = \frac{ln ( 83 )}{ln ( 17 )}

x = \frac{ln ( 83 )}{ln ( 17 )}

3^{t} - 3 = 81

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

\frac{1}{4 ^{x}} = 8

2 e^{x} = 5 e^{x} + 12

so l v e f or t, 5^{t} = 7