Thank you for visiting Write tex 5 4 625 tex in logarithm form A tex log 5 4 625 tex B tex log 4 625 5 tex C tex. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To write the exponential equation [tex]\(5^4 = 625\)[/tex] in logarithm form, we need to understand the relationship between exponents and logarithms.
The general form for a logarithm is:
[tex]\[
\log_b(a) = c
\][/tex]
where [tex]\(b^c = a\)[/tex].
In the equation [tex]\(5^4 = 625\)[/tex], we have:
- The base [tex]\(b\)[/tex] is 5.
- The result [tex]\(a\)[/tex] is 625.
- The exponent [tex]\(c\)[/tex] is 4.
So, to rewrite it in logarithmic form, we match the elements:
[tex]\[
5^4 = 625 \quad \Rightarrow \quad \log_5(625) = 4
\][/tex]
Therefore, the correct logarithmic form is given by option C:
[tex]\[
\log_5 625 = 4
\][/tex]
The general form for a logarithm is:
[tex]\[
\log_b(a) = c
\][/tex]
where [tex]\(b^c = a\)[/tex].
In the equation [tex]\(5^4 = 625\)[/tex], we have:
- The base [tex]\(b\)[/tex] is 5.
- The result [tex]\(a\)[/tex] is 625.
- The exponent [tex]\(c\)[/tex] is 4.
So, to rewrite it in logarithmic form, we match the elements:
[tex]\[
5^4 = 625 \quad \Rightarrow \quad \log_5(625) = 4
\][/tex]
Therefore, the correct logarithmic form is given by option C:
[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 4 625 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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Rewritten by : Jeany
