Question

Dau coroana.
Determina ab stiind ca:

25^{ab}<5^{26}

Answer 1

25^{ab}=(5²)^{ab}=5^2{ab}
5^2{ab}<5^{26}⇔2{ab}<{26}⇔{ab}<26:2⇔{ab}<13
{ab}∈{10,11,12}