Question: If $\log_{10}3 = 0.477$, the number of digits in $3^{40}$is...

Question

If $\log_{10}3 = 0.477$ , the number of digits in $3^{40}$ is

Answer 1

Let $y = 3^{40}$ is

Taking log both the sides, $\log y = \log 3^{40} \Rightarrow \log{}y = 40\log 3 \Rightarrow \log y = 19.08$

∴ Number of digits in $y = 19 + 1 = 20$

Question: If \(\log_{10}3 = 0.477\), the number of digits in \(3^{40}\)is...