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Will logarithms help in calculating this product?

  1. Jun 4, 2014 #1
    1. The problem statement, all variables and given/known data

    Calculate the value of y in the expression below:

    10y = 103.2 × 102.4 × 10-1.8 × 1000.3 × 100-0.5



    2. Relevant equations



    3. The attempt at a solution

    10y= 103.8*100-0.2

    Don't know how to move on from here as have no other examples like it? I am thinking I can use logs, however it is not mentioned in the question.
     
    Last edited by a moderator: Jun 5, 2014
  2. jcsd
  3. Jun 4, 2014 #2

    LCKurtz

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    Write ##100## as ##10^2## to simplify. No need for logs.
     
  4. Jun 5, 2014 #3

    verty

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    If you want to use logs, take the base-10 log of each side.
     
  5. Jun 5, 2014 #4
    10y= 103.8*100-0.2

    10y=103.8*(102)-0.2

    10y=103.4

    Now how do I find y? Thanks.
     
  6. Jun 5, 2014 #5

    Ray Vickson

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    You cannot possibly be serious. Just look at the equation!
     
  7. Jun 5, 2014 #6
    got it!
     
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