Results 1 to 3 of 3

Math Help - Solving Exponential Equations

  1. #1
    Newbie
    Joined
    Feb 2011
    Posts
    12

    Solving Exponential Equations

    Hi I apologize for yet another question but my lesson book is terribly vague and does not provide examples so I'm not quite sure how to proceed with this problem.

    Problem:

    (2^{2x+1})(4^{3x+3})=128^x

    I haven't gotten into logs yet so I obviously need like bases so I've done this:

    2^{(2x+1)}2^{2(3x+3)}=2^{7(x)}

    Which gives me

    (2x+1)(6x+6)=7x

    if what I did is right than I'm thinking I should expand the brackets move the 7x over to make it =0 and factor?

    Thanks for taking a look!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    -1
    e^(i*pi)'s Avatar
    Joined
    Feb 2009
    From
    West Midlands, England
    Posts
    3,053
    Thanks
    1
    Yep, that's it
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,629
    Thanks
    430
    Quote Originally Posted by Substince View Post
    Hi I apologize for yet another question but my lesson book is terribly vague and does not provide examples so I'm not quite sure how to proceed with this problem.

    Problem:

    2^{2x+1})(4^{3x+3})=128^x

    I haven't gotten into logs yet so I obviously need like bases so I've done this:

    2^{(2x4)}2^{2(3x+3)}=2^{7(x)}

    Which gives me

    (2x+1)(6x+6)=7x

    if what I did is right than I'm thinking I should expand the brackets move the 7x over to make it =0 and factor?

    Thanks for taking a look!
    re: the left side of your equation. note that ...

    2^{2x+1} \cdot 2^{6x+6} = 2^{(2x+1)+(6x+6)}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Solving Exponential Equations
    Posted in the Algebra Forum
    Replies: 4
    Last Post: October 6th 2009, 07:10 PM
  2. Solving Exponential Equations
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: September 26th 2009, 12:19 PM
  3. Solving Exponential Equations
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: April 23rd 2009, 01:33 AM
  4. Solving Exponential Equations
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: November 12th 2008, 04:30 PM
  5. need help on solving exponential equations!
    Posted in the Algebra Forum
    Replies: 1
    Last Post: November 12th 2007, 07:33 PM

Search Tags


/mathhelpforum @mathhelpforum