2^{x-8}=5

Lösung

2^{x - 8} = 5

x = \frac{ln ( 5 )}{ln ( 2 )} + 8

Dezimale

x = 10.32192 \dots

Schritte zur Lösung

2^{x - 8} = 5

Wende Exponentenregel an

(x - 8) ln (2) = ln (5)

Löse

(x - 8) ln (2) = ln (5) : x = \frac{ln ( 5 )}{ln ( 2 )} + 8

x = \frac{ln ( 5 )}{ln ( 2 )} + 8

8^{x^{2} - 4} = 1

so l v e f or x, 2^{x - 9} = 9

6^{x - 1} - 2 = 62

so l v e f or x, (1.3)^{x} = 27

20000 = 400 (4^{t})