We're glad you stopped by Solve for tex x tex tex 5 x frac 1 25 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 equation
[tex]$$
5^x = \frac{1}{25}.
$$[/tex]
First, notice that [tex]$25$[/tex] can be written as [tex]$5^2$[/tex], so
[tex]$$
\frac{1}{25} = \frac{1}{5^2} = 5^{-2}.
$$[/tex]
Now the equation becomes
[tex]$$
5^x = 5^{-2}.
$$[/tex]
Since the bases are equal, the exponents must be equal. Hence,
[tex]$$
x = -2.
$$[/tex]
To verify, we compute
[tex]$$
5^{-2} = \frac{1}{25} = 0.04.
$$[/tex]
Thus, the solution is [tex]$x = -2$[/tex], and the computed value of [tex]$5^x$[/tex] is [tex]$0.04$[/tex].
[tex]$$
5^x = \frac{1}{25}.
$$[/tex]
First, notice that [tex]$25$[/tex] can be written as [tex]$5^2$[/tex], so
[tex]$$
\frac{1}{25} = \frac{1}{5^2} = 5^{-2}.
$$[/tex]
Now the equation becomes
[tex]$$
5^x = 5^{-2}.
$$[/tex]
Since the bases are equal, the exponents must be equal. Hence,
[tex]$$
x = -2.
$$[/tex]
To verify, we compute
[tex]$$
5^{-2} = \frac{1}{25} = 0.04.
$$[/tex]
Thus, the solution is [tex]$x = -2$[/tex], and the computed value of [tex]$5^x$[/tex] is [tex]$0.04$[/tex].
We appreciate you taking the time to read Solve for tex x tex tex 5 x frac 1 25 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
