Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Which of the following is the best first step in solving the equation below?

[tex]\[ 4 + 2 \log_3 x = 17 \][/tex]

A. [tex]\( 2 \log_3 x = 13 \)[/tex]

B. [tex]\( \log_3 4 - \log_3 17 = 2 \log_3 x \)[/tex]

C. [tex]\( 4 + \log_3 x^2 = 17 \)[/tex]

D. [tex]\( e^{4 + 2 \log_3 x} = 17 \)[/tex]

Sagot :

GinnyAnswer
Sure, let's solve the given equation step-by-step:

The equation given is:
[tex]\[ 4 + 2 \log_3(x) = 17 \][/tex]

To solve this equation, we need to isolate the logarithmic term [tex]\(\log_3(x)\)[/tex]. Here are the steps:

1. Subtract 4 from both sides of the equation to isolate the term with the logarithm:
[tex]\[ 4 + 2 \log_3(x) - 4 = 17 - 4 \][/tex]
This simplifies to:
[tex]\[ 2 \log_3(x) = 13 \][/tex]

2. From this step, we have successfully isolated the logarithmic term.

Given the choices, the best first step would be:
A. [tex]\(2 \log_3(x) = 13\)[/tex]

This is the correct step to begin solving the equation.
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.