0\\\\log_{2^3}x+log_{2^{1/2}}\, x=14\\\\\frac{1}{3}\cdot log_2x+2\cdot log_2x=14\\\\\frac{7}{3}\cdot log_2x=14\cdot \frac{3}{7}\\\\log_2x=6\\\\x=2^6\\\\x=64\\\\Otvet:\; \; x=64." alt="log_8x+log_{\sqrt2}\, x=14\; \; ,\; \; ODZ:\; x>0\\\\log_{2^3}x+log_{2^{1/2}}\, x=14\\\\\frac{1}{3}\cdot log_2x+2\cdot log_2x=14\\\\\frac{7}{3}\cdot log_2x=14\cdot \frac{3}{7}\\\\log_2x=6\\\\x=2^6\\\\x=64\\\\Otvet:\; \; x=64." align="absmiddle" class="latex-formula">