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

A) [tex]\log _4 5=625[/tex]

B) [tex]\log _5 4=625[/tex]

C) [tex]\log _5 625=4[/tex]

D) [tex]\log _4 625=5[/tex]

Answer :

We are given the exponential equation:
[tex]$$
5^4 = 625.
$$[/tex]

To write this equation in logarithmic form, recall that an exponential equation of the form
[tex]$$
a^b = c
$$[/tex]
can be rewritten as:
[tex]$$
\log_a c = b.
$$[/tex]

Here, the base is [tex]$a=5$[/tex], the exponent is [tex]$b=4$[/tex], and the number is [tex]$c=625$[/tex]. Thus, rewriting the given equation in logarithmic form gives:
[tex]$$
\log_5 625 = 4.
$$[/tex]

This corresponds to option C.

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Rewritten by : Jeany