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Thread: A question with logarithms: Given log x = 1.322, approximate the value of log (1/x^5)

  1. #1

    A question with logarithms: Given log x = 1.322, approximate the value of log (1/x^5)

    Hello, I have been stuck on this problem for awhile. Any help would be appreciated; thanks.

    *solve without calculator*
    Given log x = 1.322,
    approximate the value of log (1/x5)

  2. #2
    Elite Member
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    What logarithm rules have you applied to the expression?
    "Unique Answers Don't Care How You Find Them." - Many may have said it, but I hear it most from me.

  3. #3
    Elite Member stapel's Avatar
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    Cool

    Quote Originally Posted by Kidpure View Post
    Hello, I have been stuck on this problem for awhile. Any help would be appreciated; thanks.

    *solve without calculator*
    Given log x = 1.322,
    approximate the value of log (1/x5)
    Try using the log rules they gave you (here) and what you know about exponents (here). Convert the fraction inside the log to an expression with a negative power. Then apply a log rule to move that power outside of the log, and evaluate.

    If you get stuck, please reply showing your thoughts and efforts so far. Thank you!

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