Question

Помогите решить неравенство..

Answer 1

$21\cdot(2^{x+18}+2^{x+17})\ \textgreater \ 2\cdot(3^{x+19}\cdot 3^{x+16})\\ 21\cdot(2\cdot 2^{x+17}+2^{x+17})\ \textgreater \ 2\cdot3^{2x+35}\\ 3\cdot 21\cdot 2^{x+17}\ \textgreater \ 2\cdot 3^{2x+35}\\ 3\cdot 21\cdot 2^{x+16}\ \textgreater \ 3^{2x+35}\\ 7\cdot 2^{x+16}\ \textgreater \ 3^{2x+33}\\ \\ 7\cdot 2^{16}\cdot 2^x\ \textgreater \ 9^x\cdot 3^{33}\\ \\ \bigg( \dfrac{2}{9}\bigg)^{x} \ \textgreater \ \dfrac{3^{33}}{7\cdot 2^{16}} \\ \\ x\ \textless \ \log_\big{ \frac{2}{9} } \dfrac{3^{33}}{7\cdot 2^{16}}$