AdrianAlmonte
Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Select the correct answer. What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 1? A. -0.21 B. 0.74 C. 1.35 D. 1.97

Sagot :

Given the:

ln(x + 6) - ln(2x - 1) = 1

Using the logarithm rule:

  • ln a - ln b = ln (a/b)
  • ln((x + 6) / (2x - 1)) = 1
  • ((x + 6) / (2x - 1)) = E ¹

We know,

  • e1 = ²'⁷²
  • ((x + 6) / (2x - 1)) ≈ 2.72

Simplifying we get,

  • (x + 6) = 2.72 (2x - 1)
  • x + 6 = 2.72 (2x) - 2.72 (1)
  • x + 6 = 5.44x - 2.72
  • 8.72 = 4.44x

By cross multiplication we get,

  • x = 8.72 / 4.44
  • x = 1.97

Therefore, the value of x is 1.97.

The correct option in the exercise ln (x + 6) - ln (2x - 1) = 1 is alternative "D".

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.