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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