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Write [tex]$5^4=625$[/tex] in logarithm form.

A) [tex]\log _5 4=625[/tex]
B) [tex]\log _5 625=4[/tex]
C) [tex]\log _4 625=5[/tex]
D) [tex]\log _4 5=625[/tex]

Answer :

Given the equation

[tex]$$
5^4 = 625,
$$[/tex]

we can rewrite it in logarithm form. Recall that the logarithm form of the expression [tex]$a^b = c$[/tex] is

[tex]$$
\log_a c = b.
$$[/tex]

Here, we have [tex]$a = 5$[/tex], [tex]$b = 4$[/tex], and [tex]$c = 625$[/tex]. Therefore, in logarithm form the equation becomes

[tex]$$
\log_5 625 = 4.
$$[/tex]

Among the options provided, the one that exactly matches this form is:

[tex]$$
\textbf{Option 2.}
$$[/tex]

Thus, the correct answer is Option 2.

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Rewritten by : Jeany

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