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prove-2-lt-log-8-19-lt-3-1-3-

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Question Number 21350 by Bruce Lee last updated on 21/Sep/17
prove (√2) < log_8 19 < (3)^(1/3)
$$\boldsymbol{{prove}}\: \\ $$$$\:\sqrt{\mathrm{2}}\:<\:\boldsymbol{{log}}_{\mathrm{8}} \mathrm{19}\:<\:\sqrt[{\mathrm{3}}]{\mathrm{3}} \\ $$

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