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Logarithms and Exponents Question

  1. Jan 7, 2008 #1
    [SOLVED] Logarithms and Exponents Question

    The problem statement, all variables and given/known data


    The attempt at a solution

    Well, I know that one way to figure this out would be that to find a common base for both sides of the equation and then use the known exponent to find the variable. The only thing with this is that there isn't any power that 5 could be taken to, to get 41. Please help...I know this is a simple question but I just can't get it.
  2. jcsd
  3. Jan 7, 2008 #2
    Take log on both sides.
  4. Jan 7, 2008 #3


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    Science Advisor

    Sure there is. Don't limit your thinking to whole numbers.
  5. Jan 7, 2008 #4


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    Homework Helper
    Education Advisor
    Gold Member

    More precisely;
    find logarithm of both sides with either common logs or natural logs. Take your pick. Just use the same for both sides.

    You then have your choice of using a table of logarithms or a good scientific calculator.
    Process starts like this:
    [tex] \[
    \log (5)^x = \log (41) \\
    x\log (5) = \log (41) \\

    Can you take the process from there?
  6. Jan 8, 2008 #5
    yep...i got it ! thanks everyone for ur help!
  7. Jan 9, 2008 #6
    I like Stewartcs's solution better. Taking ln on both sides is a very easy way. This idea is thinking outside the box or he is thinking unlike the standard way. This deserves credit. Way to go, Stewartcs's!
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