Math - Write expression as single logarithm

Write the expression below as a single logarithm. Please show all of your work.

ln((x^2 – 1)/(x^2 – 6x + 8)) – ln((x+1)/(x+2))

  1. 👍 0
  2. 👎 0
  3. 👁 167
  1. ln((x^2 – 1)/(x^2 – 6x + 8)) – ln((x+1)/(x+2))

    when you subtract the logs, you divide the arguments

    ln (x+1)(x-1) / [(x+1)(x-1)((x-4)(x-2)]

    ln 1/[(x-4)(x-2)]

    ln [ (x-4)(x-2) ]^-1

    -ln [ (x-4)(x-2)]

    1. 👍 0
    2. 👎 0
  2. 6logb v+2logb t

    1. 👍 0
    2. 👎 0
  3. 12logb^2vt

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Precalculus

    Write 4log2+log6-log3 as a single logarithm. Explain with steps please!~~

    asked by Jake on January 30, 2012
  2. Math (Condensing logarithmic expression)

    Write the expression as the logarithm of a single quantity 3[(ln x) -2ln(x^2+1)]+2 ln 5?

    asked by Ray on October 1, 2016
  3. Math

    Write each logarithmic expression as a single logarithm: Log 2 + 3 log 1

    asked by Dominique on April 19, 2014
  4. ALGEBRA

    CONTACT THE EXPRESSIONS.THAT IS USE THE PROPERTIES OF LOGARITHM TO WRITE EACH EXPRESSION AS A SINGLE LOGARITHM WITH A COEFFICIENT OF 1. In 3-2 in 9 + 18 in 3-2 in (9+6) in 3-2 (in 4 + in 8)

    asked by Mary Ann on May 8, 2014
  1. AP Algebra

    Write the expression as a single logarithm: 2lnx+3lny-ln2-4lnz

    asked by keikei on December 3, 2013
  2. Algebra

    Write the expression as a single logarithm. log_3 40-log_3 10 I'm completely confused with logarithmic equations!! Can someone please please help me understand?

    asked by Mitch n' Joey on December 13, 2017
  3. math

    How would you condense a logarithm expression into a single quantity if the logs have different bases?

    asked by Jamie on November 20, 2012
  4. Math

    Evaluate the expression for the given value of the variable. Show your work. [-4b-8]+[-1-b^2]+2b^3;b=-2 Solve the equation. Check for extraneous solutions. 9[9-8x]=2x+3. Show your work. I really need help with both of these

    asked by Bethany on September 18, 2017
  1. college algebra

    write the expression as a single logarithm In(x/x-2)+In(x+2/x)-In(x^2-4) Please show work

    asked by Ladybug on November 27, 2012
  2. pre calculous

    use the properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. show your work ln x^2/y^3 Assuming x,y AND z are positive use properties of logariths to write the

    asked by kevin on June 12, 2011
  3. Algebre

    Please help I don't understand Contract the expression this is use properties of logarithm to write each expression as a single logarithm with a coefficient of 1. In3-3 In 9 +In 18 In3-2 in (9=6) In 3-2 (In 4 In 8) Thank you so

    asked by Mary Ann on May 6, 2014
  4. Precalc

    how to write each expression into a single logarithm. ln(x-1/x) + ln(x/x+1) - ln((x^(2)-1)) the answer is: -2ln(x+1) steps please i tried solving this but ended up getting this long expression

    asked by Amy~ on February 2, 2011

You can view more similar questions or ask a new question.