6^{n+7}=67

Lösung

6^{n + 7} = 67

n = \frac{ln ( 67 )}{ln ( 6 )} - 7

Dezimale

n = - 4.65331 \dots

Schritte zur Lösung

6^{n + 7} = 67

Wende Exponentenregel an

(n + 7) ln (6) = ln (67)

Löse

(n + 7) ln (6) = ln (67) : n = \frac{ln ( 67 )}{ln ( 6 )} - 7

n = \frac{ln ( 67 )}{ln ( 6 )} - 7

3^{x - 3} = 1 7^{- 5 x}

9 e^{x} = 3

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

so l v e f or x, 13 (1 + e^{- x})^{- 1} = 2

3 6^{2 m} = 21 6^{m - 3}