The logarithmic form of $5^{2} = 25$ is

{log}_{5} 2 = 25

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{log}_{2} 5 = 25

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{log}_{5} 25 = 2

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{log}_{25} 5 = 2

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Solution

The correct option is B ${log}_{5} 25 = 2$
$5^{2} = 25$
Taking log with base $5$ both sides, we get
${log}_{5} 5^{2} = {log}_{5} 25$
$\Rightarrow {log}_{5} 25 = 2 {log}_{5} 5$
$\Rightarrow {log}_{5} 25 = 2$ $({log}_{a} a = 1)$
Hence, C is the correct option.

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