Results 1 to 4 of 4

Math Help - Solving logarithmic functions.

  1. #1
    Junior Member
    Joined
    Jun 2008
    Posts
    66

    Solving logarithmic functions.

    It escapes me how to do these at the moment.

    Time is a factor! <3

    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Jun 2008
    From
    Plymouth
    Posts
    120
    Thanks
    5
    3 ln(x^3 y^4) +5 ln(x^{-1})-4 ln(y)
    3 ln(x^3)+3ln(y^4)-5ln(x)-4ln(y)
    9ln(x)+12ln(y)-5ln(x)-4ln(y)
    4ln(x)+8ln(y)

    I've used the following properties:
    ln(ab)=ln(a)+ln(b)
    ln(a^n)=n*ln(a)
    \frac {1}{x}=x^{-1}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jul 2008
    Posts
    42

    Smile

    Hi,

    =log(x^9y^12)+log(1/x^5)-log(y^4)

    =log(x^9y^12)+log(1/x^5.y^4)

    =log(x^9y^12.1/x^5.y^4)

    =logx^4y^8

    here we used the formula for logab=loga+logb

    log(a/b)=loga-logb
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,909
    Thanks
    771
    Hello, mankvill!

    I'll give it a try . . .


    3\!\cdot\!\log(x^3y^4) + 5\!\cdot\!\log\left(\frac{1}{x}\right) - 4\!\cdot\!\log(y)

    We have: . \log(x^3y^4)^3 + \log\left(\frac{1}{x}\right)^5 - \log(y)^4

    . . . . . . = \;\underbrace{\log(x^9y^{12}) + \log\left(\frac{1}{x^5}\right)} - \log(y^4)

    . . . . . . = \quad\;\;\overbrace{\log\left(x^9y^{12}\cdot\frac{  1}{x^5}\right)} - \log(y^4)

    . . . . . . = \;\qquad\quad\log(x^4y^{12}) - \log(y^4)

    . . . . . . = \;\qquad\qquad\log\left(\frac{x^4y^{12}}{y^4}\righ  t)

    . . . . . . = \qquad\qquad\;\; \log(x^4y^8)



    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Solving Logarithmic Fractions
    Posted in the Algebra Forum
    Replies: 5
    Last Post: January 2nd 2012, 11:11 PM
  2. Need help in solving logarithmic equation
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: April 2nd 2009, 06:07 PM
  3. Solving Logarithmic Equations
    Posted in the Algebra Forum
    Replies: 5
    Last Post: January 6th 2009, 07:49 PM
  4. Replies: 4
    Last Post: December 4th 2008, 11:57 AM
  5. Solving logarithmic equation
    Posted in the Algebra Forum
    Replies: 1
    Last Post: November 18th 2007, 03:43 PM

Search Tags


/mathhelpforum @mathhelpforum