repede dau multe puncte!!

Repede Dau Multe Puncte class=

Răspuns :

[tex](8^5)^{40}=2^{30\cdot x}\\\text{Hai sa ne ocupam mai intai de }(8^5)^{40}.\\(8^5)^{40}=8^{5\cdot 40}=8^{200}=(2^{3})^{200}=2^{3\cdot 200}=2^{600}\\\text{Prin urmare, ecuatia devine:}\\2^{600}=2^{30\cdot x}\\30\cdot x=600\\\boxed{x=20}[/tex]