5^{x-3}=10

Lösung

5^{x - 3} = 10

x = \frac{ln ( 10 )}{ln ( 5 )} + 3

Dezimale

x = 4.43067 \dots

Schritte zur Lösung

5^{x - 3} = 10

Wende Exponentenregel an

(x - 3) ln (5) = ln (10)

Löse

(x - 3) ln (5) = ln (10) : x = \frac{ln ( 10 )}{ln ( 5 )} + 3

x = \frac{ln ( 10 )}{ln ( 5 )} + 3

6 = 12 \cdot 5^{- k^{20}}

7^{- x} \cdot 7^{- x} = 343

0 = 10 e^{0.002 x}

6^{4 x - 4} = 1

e^{x^{2}} = e^{x} (e^{x - 1})^{2}