Question

Решите неравенство (3/4)^9x-19>(9/16)^4x+5

Answer 1

$( \frac{3}{4}) ^{9x-19} \ \textgreater \ ( \frac{9}{16}) ^{4x+5} \\ \\ ( \frac{3}{4}) ^{9x-19} \ \textgreater \ (( \frac{9}{16}) ^{2} ) ^{4x+5} \\ \\ ( \frac{3}{4}) ^{9x-19} \ \textgreater \ ( \frac{3}{4}) ^{8x+10} \\ \\ 9x-19\ \textgreater \ 8x+10 \\ 9x-8x\ \textgreater \ 10+19 \\ x\ \textgreater \ 29$
Ответ: x > 29.