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Homework Help: Numerical value and log problem

  1. Oct 4, 2007 #1
    1. The problem statement, all variables and given/known data
    log_u (5) = a; log_u (27)=b; log_u(32)=c

    what is the numerical value of u^(2a+(1/3)b-(2/5)c)

    2. Relevant equations

    3. The attempt at a solution

    Can you do (u^2a * u^(b*1/3) ) / ( u^(c*-2/5))) and then do
    log_u of the whole thing

    from here can you make it

    ((u^a)^2 * (u^b)^1/3))/((u^c)^2/5)
    Last edited: Oct 4, 2007
  2. jcsd
  3. Oct 4, 2007 #2


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    Science Advisor
    Homework Helper

    Yes, but now u^a=5, right? What's u^b and u^c? You can turn it all into numbers.
  4. Oct 4, 2007 #3
    yeah so i turned them all into numbers and got 18.75 I wanted to make sure this was a legit way to solve this problem thanks dick.
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