At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
To determine when there are 81 players in the online game, we need to solve the equation [tex]\( f(x) = 81 \)[/tex] where [tex]\( f(x) = 3^x \)[/tex].
Step-by-Step Solution:
1. Start with the equation representing the number of players:
[tex]\[ 3^x = 81 \][/tex]
2. Recognize that 81 can be expressed as a power of 3:
[tex]\[ 81 = 3^4 \][/tex]
3. Substitute [tex]\( 81 \)[/tex] with [tex]\( 3^4 \)[/tex] in the equation:
[tex]\[ 3^x = 3^4 \][/tex]
4. Since the bases are equal, the exponents must also be equal:
[tex]\[ x = 4 \][/tex]
Therefore, [tex]\( x = 4 \)[/tex]. This means there are 81 players in week 4.
The correct answer is:
D. Week 4
Step-by-Step Solution:
1. Start with the equation representing the number of players:
[tex]\[ 3^x = 81 \][/tex]
2. Recognize that 81 can be expressed as a power of 3:
[tex]\[ 81 = 3^4 \][/tex]
3. Substitute [tex]\( 81 \)[/tex] with [tex]\( 3^4 \)[/tex] in the equation:
[tex]\[ 3^x = 3^4 \][/tex]
4. Since the bases are equal, the exponents must also be equal:
[tex]\[ x = 4 \][/tex]
Therefore, [tex]\( x = 4 \)[/tex]. This means there are 81 players in week 4.
The correct answer is:
D. Week 4
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.