Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A quick question on logarithms

  1. Sep 6, 2007 #1
    I've been working on logarithms in my calculus class and I came acrossed one with a square root. Since I am new to these types of problems I'm not sure how to work with this yet.

    How would I solve something such as loge[square root of e]
  2. jcsd
  3. Sep 6, 2007 #2
    Welcome to PF, Antisubs12.

    Do you know another (equivalent) way to write

    [tex]\log_{a}x^y = ?[/tex]
  4. Sep 6, 2007 #3


    User Avatar
    Staff Emeritus
    Science Advisor

    Well, [itex]\ln\sqrt{e}=\ln e^{1/2}=\frac{1}{2}\ln{e}=\frac{1}{2}[/itex]. Where the second equality comes from the rule ln(a)^b=b ln(a)
  5. Sep 6, 2007 #4
    how would you write square root of e in expediential form? After you do that ask your self what law of logs will help you make the problem more workable.
  6. Sep 6, 2007 #5
    ah thanks, i had forgotten there was a way to write square roots in exponential form. I can handle things from here. Thanks again.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook