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Math Help - Can I get help finishing this logerithm?

  1. #1
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    Can I get help finishing this logerithm?

    I need to solve the equation.

    log_x\frac{1}{8}=3

    I come up with

     \frac{1}{8}=x^3

    I'm guessing you can reduce this even further, but I'm not sure how.



    Thanks
    Jason
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  2. #2
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    Quote Originally Posted by Darkhrse99 View Post
    I need to solve the equation.

    log_x\frac{1}{8}=3

    I come up with

     \frac{1}{8}=x^3
    Hello,

     \frac{1}{8}=x^3 ~\iff~ \left(\frac12\right)^3 =x^3~\iff~x=\frac12

    or:

     \frac{1}{8}=x^3~\iff~x=\sqrt[3]{\frac18} = \frac12
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  3. #3
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    Thanks, It' been a long night and I think my brain is shutting down.
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