It is given that log10 2 0 301 and log10 3 0 477 How many digits are there in 108 10 ........

Quantitative Aptitude (CDS) Simplification

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

No of digits in (108)¹⁰

We have to find the log of the given number with base 10 and add one to its integral part to find the no of digits

log (108)¹⁰ = 10 log 108 = 10 log(2² * 3³) = 10[2log2 + 3log3]

= 10[2*0.301 + 3*0.477] = 20.33

Integral part = 20 No of digits = 20+1 = 21

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