5^{4x+2}=37500

Lösung

5^{4 x + 2} = 37500

x = \frac{ln ( 1500 )}{4 ln ( 5 )}

Dezimale

x = 1.13598 \dots

Schritte zur Lösung

5^{4 x + 2} = 37500

Wende Exponentenregel an

(4 x + 2) ln (5) = ln (37500)

Löse

(4 x + 2) ln (5) = ln (37500) : x = \frac{ln ( 1500 )}{4 ln ( 5 )}

x = \frac{ln ( 1500 )}{4 ln ( 5 )}

8 \cdot 5^{- \frac{t}{9}} = 346

x^{2} e^{x} = 0

3 e^{2 x} = 7

2^{3 x - 1} = 1

(7^{2})^{x} = 343