We're glad you stopped by Rewrite tex 5 2 frac 1 25 tex in logarithmic form Write any fractions in your equation in simplest form tex log 5 left frac. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
To rewrite the equation [tex]\(5^{-2} = \frac{1}{25}\)[/tex] in logarithmic form, let's follow these steps:
1. Understand the Components:
- The original equation is in exponential form, where the base is 5, the exponent is -2, and the result is [tex]\(\frac{1}{25}\)[/tex].
2. Identify the Parts for Logarithmic Form:
- Logarithmic form can be written as [tex]\(\log_{\text{base}}(\text{result}) = \text{exponent}\)[/tex].
3. Apply the Components:
- Here, the base is 5.
- The result is [tex]\(\frac{1}{25}\)[/tex].
- The exponent is -2.
4. Write the Logarithmic Equation:
- Based on the identified parts, we can write the logarithmic form of the given exponential equation as:
[tex]\[
\log_5{\frac{1}{25}} = -2
\][/tex]
This equation shows that the logarithm of [tex]\(\frac{1}{25}\)[/tex] with base 5 is equal to -2.
1. Understand the Components:
- The original equation is in exponential form, where the base is 5, the exponent is -2, and the result is [tex]\(\frac{1}{25}\)[/tex].
2. Identify the Parts for Logarithmic Form:
- Logarithmic form can be written as [tex]\(\log_{\text{base}}(\text{result}) = \text{exponent}\)[/tex].
3. Apply the Components:
- Here, the base is 5.
- The result is [tex]\(\frac{1}{25}\)[/tex].
- The exponent is -2.
4. Write the Logarithmic Equation:
- Based on the identified parts, we can write the logarithmic form of the given exponential equation as:
[tex]\[
\log_5{\frac{1}{25}} = -2
\][/tex]
This equation shows that the logarithm of [tex]\(\frac{1}{25}\)[/tex] with base 5 is equal to -2.
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Rewritten by : Batagu
