p1*v1^m = p*v^m m =?

Question

Aufgabe:

Logarithmus Variable Umformen

p1*v1^m = p*v^m   m = ?

Problem/Ansatz:

p1*v1^m = p*v^m   m = ?

Answer 1

p1 = a

v1 = b

a*b^m =p*v^m

(b/v)^m = p/a

m*ln(b/v) = ln(p/a)

m= ln(p/a)/ ln(b/v)