Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Solve this logarithmic function?

Log(x+3/10) + LogX + 1 = 0 please solve with steps!! i got lost half way through the problem and need some guidance! thanks for your time :)

2 Answers

Relevance
  • 9 years ago
    Favorite Answer

    if you meant

    log((x + 3)/10) + log(x) + 1 = 0

    then

    • domain x > 0

    log(x + 3) - log(10) + log(x) + 1 = 0

    log(x + 3) - 1 + log(x) + 1 = 0 ← assuming common log = base 10

    log(x + 3) + log(x) = 0

    log(x² + 3x) = 0

    x² + 3x = 10^0

    x² + 3x + (3/2)² = 1 + 9/4

    (x + 3/2)² = 13/4

    x + 3/2 = ±√(13)/2

    x = (-3 + √(13))/2 ← reject neg solution out of domain

    x ≈ 0.3028

    ♣♦

  • Anonymous
    4 years ago

    the basic logarithmic function has a base of 10. As you extra your analyze you will see that different logarithmic purposes would have a base such by using fact the selection 2 and could be written as log(base small 2)x. The inverse of the log is exponentiation. consequently, if the backside is ten you might have 10^(y/3). additionally notice that by using fact the backside variations so will the exponential. So if it have been 2, it may be 2^(x-a million) or in spite of.

Still have questions? Get your answers by asking now.