Question

What is the number of digits in 333? Given that log3 = 0.47712?

Answer 1

$\huge\color{red}\fbox\mathbf{Hey\:Buddy}$

$let \: x \: = ({ {3}^{3} }^{3} ) = { { ({3}^{3} })^{3}} \\ \\ then \: \: log(x) = {3}^{3} \: log(3) \\ \\ = 27 \times 0.47712 \\ \\ = 12.88224$
Since the characteristic in the resultant value of log x is 12

 ∴ The number of digits in x is (12 + 1) = 13 

Hence,

$the \: required \: no \: in \: digit \\ { {3}^{3} }^{3} \: is \: 13$





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