1; x>0; \frac {ln x}{ln \frac {1}{2}}+\frac {ln x}{ln 3}}>1; (ln3+ln \frac {1}{2}) ln x>ln3ln \frac {1}{2}; ln \frac {3}{2} ln x>ln3ln \frac {1}{2}; ln x>ln3ln \frac {1}{2}ln\frac {3}{2}; x>3*\frac{1}{2}*\frac{3}{2}; x>\frac{9}{4}" alt="log _{1/2}x+log_3x>1; x>0; \frac {ln x}{ln \frac {1}{2}}+\frac {ln x}{ln 3}}>1; (ln3+ln \frac {1}{2}) ln x>ln3ln \frac {1}{2}; ln \frac {3}{2} ln x>ln3ln \frac {1}{2}; ln x>ln3ln \frac {1}{2}ln\frac {3}{2}; x>3*\frac{1}{2}*\frac{3}{2}; x>\frac{9}{4}" align="absmiddle" class="latex-formula">
x є (9/4;+бесконечность)