2021 · Q51
What is log₁₀ 31.25 equal to?
Elementary MathematicsAlgebra
- A3 − 5 log₁₀ 2
- B3 − 2 log₁₀ 2
- C5 − 5 log₁₀ 2
- D5 − 3 log₁₀ 2
Explanation
31.25 = 3125/100 = 5⁵/10². So log₁₀ 31.25 = 5log₁₀5 − 2 = 5(1 − log₁₀2) − 2 = 3 − 5log₁₀2. Hence option A.
What is log₁₀ 31.25 equal to?
Explanation
31.25 = 3125/100 = 5⁵/10². So log₁₀ 31.25 = 5log₁₀5 − 2 = 5(1 − log₁₀2) − 2 = 3 − 5log₁₀2. Hence option A.