Final answer:
To evaluate the expression log₁₂ (1/3), rewrite 1/3 as 12⁻¹ and apply the logarithmic property to obtain -1 * log₁₂ (12).
Step-by-step explanation:
The given expression is log₁₂ (1/3). We can rewrite 1/3 as 12⁻¹. So the expression becomes log₁₂ (12⁻¹). Now, we can use the property of logarithms which states that log (aⁿ) = n * log (a). Applying this property, we have -1 * log₁₂ (12). Since log₁₂ (12) is approximately equal to 1.0792 (rounded to 4 decimal places), the final answer is -1 * 1.0792 = -1.0792 (rounded to 4 decimal places).