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Answer :
To rewrite the equation [tex]\(5^4 = 625\)[/tex] in logarithm form, we need to understand the relationship between exponents and logarithms.
The general form of an exponential equation is:
[tex]\[ a^b = c \][/tex]
where:
- [tex]\( a \)[/tex] is the base,
- [tex]\( b \)[/tex] is the exponent, and
- [tex]\( c \)[/tex] is the result.
The corresponding logarithmic equation is:
[tex]\[ \log_a c = b \][/tex]
where:
- The base of the logarithm is the same as the base of the exponent,
- [tex]\( c \)[/tex] from the exponential form is used as the number inside the logarithm,
- The result of the logarithm is the exponent [tex]\( b \)[/tex].
Now, let's apply this to your equation [tex]\(5^4 = 625\)[/tex]:
- The base [tex]\( a \)[/tex] is 5,
- The exponent [tex]\( b \)[/tex] is 4,
- The result [tex]\( c \)[/tex] is 625.
Using this information, we convert it to logarithmic form:
[tex]\[ \log_5 625 = 4 \][/tex]
Therefore, the correct choice from the given options is:
A) [tex]\(\log_5 625 = 4\)[/tex]
The general form of an exponential equation is:
[tex]\[ a^b = c \][/tex]
where:
- [tex]\( a \)[/tex] is the base,
- [tex]\( b \)[/tex] is the exponent, and
- [tex]\( c \)[/tex] is the result.
The corresponding logarithmic equation is:
[tex]\[ \log_a c = b \][/tex]
where:
- The base of the logarithm is the same as the base of the exponent,
- [tex]\( c \)[/tex] from the exponential form is used as the number inside the logarithm,
- The result of the logarithm is the exponent [tex]\( b \)[/tex].
Now, let's apply this to your equation [tex]\(5^4 = 625\)[/tex]:
- The base [tex]\( a \)[/tex] is 5,
- The exponent [tex]\( b \)[/tex] is 4,
- The result [tex]\( c \)[/tex] is 625.
Using this information, we convert it to logarithmic form:
[tex]\[ \log_5 625 = 4 \][/tex]
Therefore, the correct choice from the given options is:
A) [tex]\(\log_5 625 = 4\)[/tex]
Thank you for reading the article Write tex 5 4 625 tex in logarithm form A tex log 5 625 4 tex B tex log 4 625 5 tex C tex. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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