Question

Log ( 10 / 10^1/3 ) - Evaluate

Answer 1

$log( \frac{10}{ \sqrt[3]{10} } ) = log(10) - log( {10}^{ \frac{1}{3} } ) \\ assuming \: base \: is \: ten \\ = log(10) - \frac{1}{3} log(10 ) \\ = log_{10}(10) (1 - \frac{1}{3} ) \\ = 1( \frac{2}{3} ) = \frac{2}{3}$
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