Question

Решить неравенство. 2^x+3 + 2^x-3 >65

Answer 1

$2^{x+3}+2^{x-3}\ \textgreater \ 65\\ 2^x\cdot 8+2^x\cdot \frac{1}{8} \ \textgreater \ 65|\cdot8\\ 64\cdot 2^x+2^x\ \textgreater \ 65\cdot8\\ 65\cdot2^x\ \textgreater \ 65\cdot8\\ 2^x\ \textgreater \ 8\\ 2^x\ \textgreater \ 2^3\\ x\ \textgreater \ 3$