If ${log}_{2} 3 = a$ then find the value of ${log}_{8} 27$ .

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Solution

Given,
${log}_{2} 3 = a$ ......(1).
Now,
${log}_{8} 27$
$= {log}_{2^{3}} 3^{3}$
$= \frac{3}{3} {log}_{2} 3$
$= {log}_{2} 3$
$= a$ .

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