$5^{4} = 625$ can also be expressed as

$l o g_{4} 5 = 625$

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$l o g_{5} 625 = 4$

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$l o g_{4} 625 = 5$

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$\sqrt[4]{625} = 5$

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Solution

The correct options are
B
$l o g_{5} 625 = 4$

D
$\sqrt[4]{625} = 5$

If $y = a^{b}$ , then $b = l o g_{a} y$

b is logarithm of y to the base a.

So, $l o g_{5} 625 = 4$ is solution.

Also, $5^{4} = 625 ⟺ 5 = 625^{\frac{1}{4}} ⟺ \sqrt[4]{625} = 5$

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