Question

determinați numărul natural n știind că 25 la puterea n plus 1 egal cu 125 la a patra

Answer 1

25^(n+1)=125^4 --> (5^2)^(n+1)=(5^3)^4 --> 5^(2n+2)=5^12 --> 2n+2=12 --> 2n=10 --> n= 5;
S={5}
:D

Answer 2

25^n+1=125^4

5^2n+2=5^12 = >2n+2=12;2n=10;n=5

Deci n=5...acum verificam:

25^6=244.140.625
125^4=244.140.625