Source: Extra Practice
The value of log₅ 125 · log₁₀ 0.001 is:
Options
Option A
9
Option B is correct
-9
Option C
3
Option D
-3
Explanation
First, evaluate log₅ 125. Since 125 = 5³, log₅ 5³ = 3. Second, evaluate log₁₀ 0.001. Since 0.001 = 10⁻³, log₁₀ 10⁻³ = -3. Multiplying the two results: 3 * (-3) = -9. Therefore, option B is the correct answer.