Results 1 to 2 of 2

Math Help - Function/equation logarithmic

  1. #1
    Junior Member
    Joined
    May 2006
    Posts
    38

    Cool Function/equation logarithmic

    Hi I have a few I am stumped on in my wonderful challenge of Algebra.

    First Problem is:

    Use the compound interest formulas
    A=P(1 + r over n)^nt and A=Pe^rt

    Suppose that you have $14,000 to invest. Which investment yields the greater return over 10 years: 7% compounded monthly or 6.85% compounded continuously?

    Second Problem:
    find the domain of each logarithmic function.
    F(x)=log(3-X)


    Third Problem:
    Solve each exponential equation by expressing each side as a power of the same base and then equating exponents.

    9^x = 1 over 27
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by kbryant05

    Second Problem:
    find the domain of each logarithmic function.
    F(x)=log(3-X)


    Third Problem:
    Solve each exponential equation by expressing each side as a power of the same base and then equating exponents.

    9^x = 1 over 27
    Forgive me for not doing the first problem (interest problems make me angry).

    2)The logarithm y=\log x its domain is, x>0 thus in the problem y=\log (3-x) thus, 3-x>0 thus, x<3

    3)
    9^x=\frac{1}{27}
    Note, 9=3^2,27=3^3 thus,
    (3^2)^x=\frac{1}{3^3} use exponents rule,
    3^{2x}=3^{-3}
    Thus,
    2x=-3
    Thus,
    x=-1.5
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. logarithmic function
    Posted in the Algebra Forum
    Replies: 3
    Last Post: March 28th 2011, 03:24 AM
  2. Logarithmic function help
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: April 26th 2010, 02:15 PM
  3. logarithmic function
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: April 17th 2010, 01:19 AM
  4. Logarithmic function
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 5th 2009, 08:04 PM
  5. logarithmic function
    Posted in the Algebra Forum
    Replies: 5
    Last Post: September 27th 2009, 09:13 PM

Search Tags


/mathhelpforum @mathhelpforum