Ask Question
10 November, 01:34

Solve the logarithmic equation for x. (enter your answers as a comma-separated list. round your answer to four decimal places.) ln (x - 2) + ln (x + 3) = 1

+3
Answers (1)
  1. 10 November, 02:21
    0
    The two logs in ln (x - 2) + ln (x + 3) = 1 can be combined into one:

    ln (x - 2) + ln (x + 3) = ln[ (x-2) * (x+3) ] = 1

    Then (x-2) (x+3) = e^1 = e

    Perform the indicated multiplication.

    x^2 + 3x - 2x - 6 = e

    1x^2 + 1x - (6+e) = 0

    You can use the Quadratic Formula to find the roots here.

    Note that a=1, b=1 and c = (6+e).

    The discriminant is b^2 - 4ac, or 1^2 - 4 (1) (6+e).

    Unfortunately, the discriminant is negative, indicating that you'll have two complex roots.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Solve the logarithmic equation for x. (enter your answers as a comma-separated list. round your answer to four decimal places.) ln (x - 2) ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers