Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

85. If [tex][tex]$2^{3x}=8$[/tex][/tex], then what must be the value of [tex][tex]$x$[/tex][/tex]?

A) 1
B) 2
C) 4
D) 8

Sagot :

GinnyAnswer
To solve the equation [tex]\(2^{3x} = 8\)[/tex], we'll proceed with the following steps:

1. Express the number 8 as a power of 2:
Observe that [tex]\(8\)[/tex] can be written as [tex]\(2^3\)[/tex]. Therefore, we have:
[tex]\[ 2^{3x} = 2^3 \][/tex]

2. Set the exponents equal to each other:
Since the bases are the same (both are 2), we can set the exponents equal to each other:
[tex]\[ 3x = 3 \][/tex]

3. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by 3:
[tex]\[ x = \frac{3}{3} = 1 \][/tex]

Thus, the value of [tex]\(x\)[/tex] is:

[tex]\[ \boxed{1} \][/tex]
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.