The value of ${log}_{15} 225^{225}$ is equal to

15

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225

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375

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450

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Solution

The correct option is D $450$
$225 {log}_{15} 225$
$= 225 {log}_{15} 15^{2}$
$= 225 \times 2 {log}_{15} 15 = 450$

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