18 \\ 6^x-33\cdot \frac{6^{x}}{6^{2}}>18 \\ 6^x(1-\frac{33}{36})>18 \\ 6^x(1-\frac{11}{12})>18 \\ 6^x \cdot\frac{1}{12}>18 \\ 6^x>216 \\ 6^x>6^3 \\ x>3" alt="6^x-33\cdot 6^{x-2}>18 \\ 6^x-33\cdot \frac{6^{x}}{6^{2}}>18 \\ 6^x(1-\frac{33}{36})>18 \\ 6^x(1-\frac{11}{12})>18 \\ 6^x \cdot\frac{1}{12}>18 \\ 6^x>216 \\ 6^x>6^3 \\ x>3" align="absmiddle" class="latex-formula">