30=10^x

Lösung

30 = 1 0^{x}

x = \frac{ln ( 30 )}{ln ( 10 )}

Dezimale

x = 1.47712 \dots

Schritte zur Lösung

30 = 1 0^{x}

Wende Exponentenregel an

ln (30) = x ln (10)

Löse

ln (30) = x ln (10) : x = \frac{ln ( 30 )}{ln ( 10 )}

x = \frac{ln ( 30 )}{ln ( 10 )}

64 \cdot 1 6^{- 3 x} = 1 6^{3 x - 2}

12 5^{2 - 3 x} = 5

3^{x} + 3^{(3 - x)} = 12

8^{- x} = \frac{1}{2}

3^{2 x} - 12 \cdot 3^{x} + 27 = 0