Question

Determinati numarul natural n pentru care are loc egalitatea:
10 la puterea 2·n+1:5 la puterea 2·n+1=8⁹

Answer 1

10^(2n+1):5^(2n+1)=8^9
2^(2n+1)x5(2n+1):5(2n+1)=2^(3x9)
2^(2n+1)=2^27
2n+1=27
2n=27-1
2n=26
n=26:2
n=13