2^{x-8}=3

Lösung

2^{x - 8} = 3

x = \frac{ln ( 3 )}{ln ( 2 )} + 8

Dezimale

x = 9.58496 \dots

Schritte zur Lösung

2^{x - 8} = 3

Wende Exponentenregel an

(x - 8) ln (2) = ln (3)

Löse

(x - 8) ln (2) = ln (3) : x = \frac{ln ( 3 )}{ln ( 2 )} + 8

x = \frac{ln ( 3 )}{ln ( 2 )} + 8

2^{x - 8} = 9

2^{x - 8} = 7

3^{2 x - 3} = 5^{3 x - 1}

7^{x - 2} - 3^{2 x + 1} = 0

so l v e f or m, n = 2^{m - 1}