Sa se rezolve in N :
*** QuickLaTeX cannot compile formula:
\[
\begin{array}{l}
\left( {2^x } \right)^2 \cdot 4^{x - 1} = 8^4 \\
- - - - - - - - - - - - - \\
\left( {2^x } \right)^2 = 2^{2x} \\
4^{x - 1} = \left( {2^2 } \right)^{x - 1} = 2^{2(x - 1)} \\
8^4 = \left( {2^3 } \right)^4 = 2^{12} \\
2^{2x} \cdot 2^{2(x - 1)} = 2^{12} \\
2^{2x + 2(x - 1)} = 2^{12} \\
2x + 2(x - 1) = 12 \\
2x + 2x - 2 = 12 \\
4x - 2 = 12 \\
4x = 12 + 2 \\
4x = 14 \\
x = 14]
*** Error message:
\begin{array} on input line 11 ended by \end{document}.
leading text: \end{document}
Improper \prevdepth.
leading text: \end{document}
Missing $ inserted.
leading text: \end{document}
Missing } inserted.
leading text: \end{document}
Missing \cr inserted.
leading text: \end{document}
Missing $ inserted.
leading text: \end{document}
You can't use `\end' in internal vertical mode.
leading text: \end{document}
\begin{array} on input line 11 ended by \end{document}.
leading text: \end{document}
Missing } inserted.
leading text: \end{document}
Emergency stop.
Am facut asa si nu imi da bine. Cum se rezolva ?
Ai lucrat bine.
Daca nu este vreo greseala de tipar la enunt, atunci ecuatia nu are solutie in multimea numerelor naturale!
Ceea ce ai facut este este corect. Nu ai facut greseli.
Probabil ca ecuatia nu are solutie pe multimea nr.-lor N, sau este gresita !
Multumesc de raspunsuri. In carte asa scrie, o fi o greseala de tipar.
dar asta e bine?
Perfect