1. **State the problem:** Evaluate $\log_{11}{121}$. 2. **Recall the logarithm definition:** $\log_a{b} = c$ means $a^c = b$. 3. **Apply the definition:** We want to find $x$ such that $11^x = 121$. 4. **Express 121 as a power of 11:** $121 = 11^2$. 5. **Substitute:** $11^x = 11^2$. 6. **Since the bases are equal, equate exponents:** $x = 2$. **Final answer:** $\log_{11}{121} = 2$.