Facebook Page
Twitter
RSS
+ Reply to Thread
Results 1 to 2 of 2
  1. MHB Apprentice

    Status
    Offline
    Join Date
    Jun 2016
    Posts
    96
    Thanks
    6 times
    Thanked
    6 times
    #1
    can someone solve 2000 = 4𝐾^0.75 * L^0.25 where k=3/10 L. i tryed to solve this by adding the powers 2000=4(3/10 L^1) however i get an answer of 5000/3 which is not the correct answer the correct answer is 5000(10/3)^.75

  2. Pessimist Singularitarian
    MHB Coder
    MHB Math Helper
    MHB Ambassador
    MarkFL's Avatar
    Status
    Offline
    Join Date
    Feb 2012
    Location
    St. Augustine, FL.
    Posts
    11,718
    Thanks
    32,008 times
    Thanked
    27,650 times
    Thank/Post
    2.360
    Trophies
    24 Highscores
    Awards
    MHB Statistics Award (2016)  

MHB Calculus Award (2016)  

MHB Pre-University Math Award (2016)  

MHB Model Helper Award (2015)  

MHB Calculus Award (2015)
    #2
    We are given to solve for $L$:

    $ \displaystyle 2000=4K^{\frac{3}{4}}L^{\frac{1}{4}}$

    Divide through by 4:

    $ \displaystyle 500=K^{\frac{3}{4}}L^{\frac{1}{4}}$

    We are told:

    $ \displaystyle K=\frac{3}{10}L$:

    $ \displaystyle 500=\left(\frac{3}{10}L\right)^{\frac{3}{4}}L^{\frac{1}{4}}=\left(\frac{3}{10}\right)^{\frac{3}{4}}L$

    Hence:

    $ \displaystyle L=500\left(\frac{10}{3}\right)^{\frac{3}{4}}$

Similar Threads

  1. Solving equation
    By anemone in forum Challenge Questions and Puzzles
    Replies: 9
    Last Post: June 1st, 2014, 01:49
  2. Solving equation
    By magneto in forum Challenge Questions and Puzzles
    Replies: 2
    Last Post: April 3rd, 2014, 16:02
  3. Solving equation III
    By anemone in forum Challenge Questions and Puzzles
    Replies: 1
    Last Post: March 23rd, 2014, 07:49
  4. Solving Equation
    By anemone in forum Pre-Algebra and Algebra
    Replies: 15
    Last Post: July 17th, 2013, 07:23
  5. Solving for specific variable when solving a recurrence equation
    By ATroelstein in forum Discrete Mathematics, Set Theory, and Logic
    Replies: 1
    Last Post: March 12th, 2013, 19:29

Tags for this Thread

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •  
Math Help Boards