We're glad you stopped by Evaluate tex log 5 left frac 1 25 right 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 :
[tex]\Huge \boxed{\text{Answer = -2}}[/tex]
Step-by-step explanation:
To solve this logarithmic expression, we need to ask ourselves: what power of 5 gives us the fraction [tex]\frac{1}{25}[/tex]? In other words, we need to solve the equation:
[tex]\large 5^{x} = \frac{1}{25}[/tex]
We can simplify [tex]\frac{1}{25}[/tex] to [tex]5^{-2}[/tex], so our equation becomes:
[tex]5^{x} = 5^{-2}[/tex]
Now we may find [tex]x[/tex] by applying the rule "if two powers with the same base are equal, then their exponents must be equal." As a result, we have:
[tex]x = -2[/tex]
So the value of the logarithmic expression [tex]\log_5 \frac{1}{25}[/tex] is -2.
----------------------------------------------------------------------------------------------------------
We appreciate you taking the time to read Evaluate tex log 5 left frac 1 25 right 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
