We're glad you stopped by Write the exponential equation in logarithmic form tex frac 1 25 5 2 tex tex log 5 frac 1 25 2 tex. 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 :
We start with the exponential equation
[tex]$$
\frac{1}{25} = 5^{-2}.
$$[/tex]
Recall that the relationship between exponential and logarithmic forms is given by
[tex]$$
b^y = x \quad \Longleftrightarrow \quad \log_b(x) = y.
$$[/tex]
In our equation, the base is [tex]$5$[/tex], the exponent is [tex]$-2$[/tex], and the value is [tex]$\frac{1}{25}$[/tex]. Therefore, rewriting the equation in logarithmic form gives
[tex]$$
\log_{5}\left(\frac{1}{25}\right) = -2.
$$[/tex]
This is the logarithmic form of the given equation.
[tex]$$
\frac{1}{25} = 5^{-2}.
$$[/tex]
Recall that the relationship between exponential and logarithmic forms is given by
[tex]$$
b^y = x \quad \Longleftrightarrow \quad \log_b(x) = y.
$$[/tex]
In our equation, the base is [tex]$5$[/tex], the exponent is [tex]$-2$[/tex], and the value is [tex]$\frac{1}{25}$[/tex]. Therefore, rewriting the equation in logarithmic form gives
[tex]$$
\log_{5}\left(\frac{1}{25}\right) = -2.
$$[/tex]
This is the logarithmic form of the given equation.
We appreciate you taking the time to read Write the exponential equation in logarithmic form tex frac 1 25 5 2 tex tex log 5 frac 1 25 2 tex. We hope the insights shared have been helpful in deepening your understanding of the topic. Don't hesitate to browse our website for more valuable and informative content!
- Why do authors use plot complications in stories A To resolve all a story s conflicts at once B To increase suspense and interest C
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees.
Rewritten by : Batagu
