Basic Maths and Logarithm
Number of Digits
JEE Main
Grade 11
Question:
Given $\log_{10} 3 = 0.4771$, the number of digits in $3^{16}$ is _____.
Step-by-Step Solution
Key Concept: $\log_{10}(3^{16}) = 16 \times 0.4771 = 7.6336$. Number of digits $= \lfloor 7.6336 \rfloor + 1 = 7 + 1 = 8$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: 8