Question

If loga 3=2 why a is irrational give reason
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Answer 1

$Given \:log_{a} 3 = 2$

/* Write it in Exponential form */

$\implies 3 = a^{2}$

$\implies a = \sqrt{3} \: \pink { ( Irrational \: number ) }$

Therefore.,

$\red { \:log_{a} 3 = 2}$

$\green {is \: an \: \pink { ( Irrational \: number ) }}$

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