Thank you for visiting Solve for the unknown tex 5 3x times 5 625 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 :
Certainly! Let's solve the equation step-by-step:
We have the equation:
[tex]\[ 5^{3x + 1} = 625 \][/tex]
### Step 1: Express 625 as a power of 5
First, we need to express 625 as a power of the base 5.
Upon inspection or calculation, we find that:
[tex]\[ 625 = 5^4 \][/tex]
### Step 2: Set the exponents equal
Since the bases (5) on both sides of the equation are the same, we can equate the exponents:
[tex]\[ 3x + 1 = 4 \][/tex]
### Step 3: Solve for [tex]\( x \)[/tex]
To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] in the equation. Let's perform the following steps:
1. Subtract 1 from both sides to simplify:
[tex]\[ 3x = 4 - 1 \][/tex]
[tex]\[ 3x = 3 \][/tex]
2. Divide both sides by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{3}{3} \][/tex]
[tex]\[ x = 1 \][/tex]
Thus, the solution for the unknown [tex]\( x \)[/tex] is [tex]\( x = 1 \)[/tex].
We have the equation:
[tex]\[ 5^{3x + 1} = 625 \][/tex]
### Step 1: Express 625 as a power of 5
First, we need to express 625 as a power of the base 5.
Upon inspection or calculation, we find that:
[tex]\[ 625 = 5^4 \][/tex]
### Step 2: Set the exponents equal
Since the bases (5) on both sides of the equation are the same, we can equate the exponents:
[tex]\[ 3x + 1 = 4 \][/tex]
### Step 3: Solve for [tex]\( x \)[/tex]
To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] in the equation. Let's perform the following steps:
1. Subtract 1 from both sides to simplify:
[tex]\[ 3x = 4 - 1 \][/tex]
[tex]\[ 3x = 3 \][/tex]
2. Divide both sides by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{3}{3} \][/tex]
[tex]\[ x = 1 \][/tex]
Thus, the solution for the unknown [tex]\( x \)[/tex] is [tex]\( x = 1 \)[/tex].
Thank you for reading the article Solve for the unknown tex 5 3x times 5 625 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!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- 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 : Jeany
