What is the number of digits in 725 823 and 920 respectively Given log102 0 301 log103 0 477 log107 ...........

Quantitative Aptitude (CDS) Number System

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What is the number of digits in 7²⁵ , 8²³ and 9²⁰ respectively?[ Given log₁₀2=0.301 , log₁₀3=0.477,log₁₀7=0.845]

21,20,19

20,19,18

22,21,20

22,20,21

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Explanation:

log7²⁵=25log7=25x0.845=21.125
Its characteristic is 21 => No. of digits =22
log8²³=log2⁶⁹ = 69 log 2 = 69 x 0.301 = 20.769
Its characteristic is 20 => No. of digits =21
log9²⁰ = 20 log 9= 20x0.9542= 19.084
Its characteristic is 29 => No. of digits =20

so 22,21,20