2016 · Q32
The number of digits in 3³0} is n and it is given that ₁0}3=0.4771. What is the value of n ?
Elementary MathematicsNumber System
- A13
- B14
- C15
- D16
Explanation
The number of digits of 3³⁰ is ⌊30·log₁₀3⌋+1. With log₁₀3 = 0.4771 this is ⌊14.313⌋+1 = 15 (option C).