2^{n-1}=60000

Lösung

2^{n - 1} = 60000

n = \frac{ln ( 60000 )}{ln ( 2 )} + 1

Dezimale

n = 16.87267 \dots

Schritte zur Lösung

2^{n - 1} = 60000

Wende Exponentenregel an

(n - 1) ln (2) = ln (60000)

Löse

(n - 1) ln (2) = ln (60000) : n = \frac{ln ( 60000 )}{ln ( 2 )} + 1

n = \frac{ln ( 60000 )}{ln ( 2 )} + 1

so l v e f or x, 3^{x} - 3^{x - 1} = 54

8^{- x} = \frac{1}{64}

3^{x + 1} + 3^{x} = 12

4 (3^{- 2 x - 4}) = 36

5 \cdot 2^{3 x} = 10