Question

Determinati numarul natural n pentru care au loc egalitatile :

b) 3^2*n-3 = 27^7 : 9^2

c) 5^3*n+1 = 25^11

Answer 1

b. 3²*n-3=3²¹/3⁴
3²*n-3=3¹⁷⇒2n-3=17⇒2n=20⇒n=10;
c. 5³*n+1=5²²⇒3n+1=22⇒3n=21⇒n=7;