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

Given log Subscript 3 Baseline 2 almost-equals 0. 631 and log Subscript 3 Baseline 7 almost-equals 1. 771, what is log Subscript 3 Baseline 14? 1. 118 1. 893 2. 402 3. 542.

Sagot :

Numbers can be expressed using logarithms and algebraic expressions

The value of log 14 base 3 is approximately 2.402

How to determine the value of the logarithmic expressions

The logarithmic expressions are given as:

[tex]\log_3(2) \approx 0.631[/tex]

[tex]\log_3(7) \approx 1.771[/tex]

To calculate log 14 base 3, we make use of the following procedure

[tex]\log_2(14)[/tex]

Express 14 as 2 * 7

[tex]\log_2(14) = \log_2(2 * 7)[/tex]

Apply the product rule of logarithm

[tex]\log_2(14) = \log_2(2) + \log_2(7)[/tex]

Substitute known values

[tex]\log_2(14) = 0.631 + 1.771[/tex]

Evaluate the sum

[tex]\log_2(14) = 2.402[/tex]

Hence, the value of log 14 base 3 is approximately 2.402

Read more about equivalent expressions at:

https://brainly.com/question/4344214

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.