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Algebra Level 3

Given that log 10 6 = 0.778 \log_{10} 6 = 0.778 , without using a calculator, find the number of digits in 6 125 6^{125} .

99 98 97 96

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1 solution

Saswata Naha
Dec 20, 2016

let , x=6^125

taking log on both side with base 10---

log x=125×log 6

or , log x =125×0.778

or , log x=97.25

as , characteristics is 97,

therefore, no of digit =98

Shouldn't it be 97?

James Bacon - 2 years, 8 months ago

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