1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Moving exponent

  1. Jan 4, 2010 #1

    I am having trouble getting my head around this:

    Can someone explain why
    [tex]x^{x}[/tex] = [tex]e^{xlgx}[/tex]

    I cannot seem to understand why this is true. I am quite weak when it comes to handling exponentials. I dare say that I am terrified of e!

    Also, would this also hold for a static power: so [tex]x^{a}[/tex]


  2. jcsd
  3. Jan 4, 2010 #2
    Remember that for a > 0, [tex]\ln ( a^b ) = b \ln a[/tex] and the fact that exponentation and the natural logarithm are inverse functions.
  4. Jan 4, 2010 #3
    That makes sense!

    Many thanks!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook