Find the value of ${log}_{25} 125 - {log}_{8} 4.$

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Solution

${log}_{25} 125 - {log}_{8} 4$
$= \frac{3}{2} {log}_{5} 5 - \frac{2}{3} {log}_{2} 2$
$= \frac{3}{2} - \frac{2}{3}$ ... $[∵ {log}_{a} a = 1]$
$= \frac{5}{6}$

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