Wie berechnet man diese Exponentialgleichung?

Question

0,5^x-1=10³

Wie berechnet man diese Gleichung?

Answer 1

0.5^x - 1 = 10³

0.5^x - 1 = 1000

0.5^x = 1001

x = LN(1001)/LN(0.5) = -9.967226258

Answer 2

(0.5)^x -1= 10³ | +1

(0.5)^x  = 1001 |ln (..)

x *ln(0.5)= ln (1001)

x=ln (1001)/ln(0.5) ≈ -9.967