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Convert the following exponential form into [tex]$\log$[/tex] form: [tex]$5^4=625$[/tex]

A) [tex]$\log _{5}(625)=4$[/tex]
B) [tex]$\log _3(625)=4$[/tex]
C) [tex]$\log _4(5)=625$[/tex]
D) [tex]$\log _3(4)=625$[/tex]

Answer :

We start with the given exponential equation

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

Recall that the definition of a logarithm states that if

[tex]$$
a^b = c,
$$[/tex]

then it is equivalent to

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

In our case, we have:
- Base: [tex]$a = 5$[/tex]
- Exponent: [tex]$b = 4$[/tex]
- Result: [tex]$c = 625$[/tex]

Replacing these values into the logarithmic form, we get

[tex]$$
\log_{5}(625) = 4.
$$[/tex]

Thus, the exponential equation [tex]$5^4 = 625$[/tex] in logarithmic form is

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

Thank you for reading the article Convert the following exponential form into tex log tex form tex 5 4 625 tex A tex log 5 625 4 tex B tex log. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany

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