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It is given that log10 2 = 0.301 and log10 3 = 0.477. How many digits are there in (108)10?

It is given that log10 2 = 0.301 and log10 3 = 0.477. How many digits are there in (108)10? Correct Answer 21

So, factors of 108 or 22 × 33

So, let’s say y = (108)10

Take log both sides

Log y = 10 log (108)

Log y = 10

= 10

= 10

⇒ Log y = 20.33

So, from the property if log y = abc.efg Then number of digits in y = abc + 1

⇒ y has 20 + 1 = 21 digits

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