Question

4la puterea n +4la puterea n+1=10*2 la puterea 1987

Answer 1

 [tex]4^{n}+4^{n+1}=10\cdot2^{1987}\\ 4^n\cdot(1+4)=10\cdot2^{1987}\\ 2^{2n}\cdot5=10\cdot2^{1987}\;\;|\;:5\\ 2^{2n}=2^{1988}\\ \Rightarrow\;2n=1988\;de\;unde\;n=994[/tex]

Obs. pentru deschidere faceti clic pe cerculetele de langa problema !
         sau apasa tasta F5 !