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Math Help - How do I reach this answer? LOGs!

  1. #1
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    How do I reach this answer? LOGs!

    "Find the value of the following."

    loga(1/a^2)
    loga(a^(-2))
    (-2)loga a

    Note: the 'a' after the 'log' is the base.

    The answer is a^4, I just don't know how to get it.
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  2. #2
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    Hello, Jeavus!

    Find the value of the following: . \log_a\left(\frac{1}{a^2}\right)

    Your work is correct!

    \log_a\left(\frac{1}{a^2}\right) \;=\;\log_a\left(a^{-2}\right) \:=\:<br />
-2\cdot\log_a(a)
    You're expected to know that: . \log_a(a)\:=\:1

    Then the answer is: . (-2)(1) \;=\;\boxed{-2}



    The answer is: a^4 . . . . no, it isn't
    Did you copy the problem incorrectly?

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  3. #3
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    Hmm, I didn't copy it incorrectly. Its what it says in the back of the package.

    Its probably just wrong though.
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