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26 Jul 2019

Prove that log2 to the base 10 is greater than 0.3

Prove that log2 to the base 10 is greater than 0.3

Sol.  
We know ,       1024 > 1000
                          2^10 > 10^3
            log 2^10 > log 10^3  (taking log both sides)
            10 log 2 > 3 log 10
            10 log 2 > 3  ( since log 10 = 1)
                 log 2 > 0.3

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