Решите неравенство0,5^x < 3

Question

Решите неравенство
0,5^x < 3

Answer 1

 log_{0,5}3\\\\log_{0,5}3=log_{2^{-1}}3=-log_2{3}\\\\x>-log_2{3}" alt="0,5^{x}<3\\\\3=0,5^{log_{0,5}{3}}\; \; [a^{log_{a}{b}}=b]\\\\0,5^{x}<0,5^{log_{0,5}{3}}\\\\Tak\; \; kak\; \; 0,5<1,\; to\; x>log_{0,5}3\\\\log_{0,5}3=log_{2^{-1}}3=-log_2{3}\\\\x>-log_2{3}" align="absmiddle" class="latex-formula">