25^{9x-8}=120

Lösung

2 5^{9 x - 8} = 120

x = \frac{ln ( 120 ) + 16 ln ( 5 )}{18 ln ( 5 )}

Dezimale

x = 1.05414 \dots

Schritte zur Lösung

2 5^{9 x - 8} = 120

Wende Exponentenregel an

(9 x - 8) ln (25) = ln (120)

Löse

(9 x - 8) ln (25) = ln (120) : x = \frac{ln ( 120 ) + 16 ln ( 5 )}{18 ln ( 5 )}

x = \frac{ln ( 120 ) + 16 ln ( 5 )}{18 ln ( 5 )}

4^{x + 3} = 1 6^{x - 5}

3 + 2^{x} + 1 = [24 - (2^{2} - 1)]

3^{x} = 3 x + 2

e^{- 4 x} = e

e^{30 k} = \frac{49953}{50000}