The value of $3^{{log}_{4} 5} - 5^{{log}_{4} 3}$ is

0

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Solution

The correct option is A $0$
We have,
$3^{{log}_{4} 5} - 5^{{log}_{4} 3}$
${= 5}^{{log}_{4} 3} - 5^{{log}_{4} 3},$ ( $∵ x^{{log}_{a} y} = y^{{log}_{a} x}$ )
$= 0$

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