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Math Help - Logarithmic Evaluation

  1. #1
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    Logarithmic Evaluation

    Please help me with this:

    3log 4 base 3
    3

    or

    3^(3log 4 base 3)

    Find the value.

    Thanks
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  2. #2
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    Quote Originally Posted by Tracer View Post
    Please help me with this:

    3log 4 base 3
    3

    or

    3^(3log 4 base 3)

    Find the value.

    Thanks

    It's not completely clear what you meant: if it is \log_34 , then 3^{3\log_34}=3^{\log_364} , and now remember that a^{\log_ab}=b\,,\,\,\forall\,\,0<a,b\in\mathbb{R}\  ,,\,\,a\neq 1

    Tonio
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  3. #3
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    Yes that is what I meant, sorry, I don't really know how to use code to make an image like that. Me and my dad had a controversy on how to solve it. My teacher showed me a way to cancel out the bases, but my dad did it another way and we got different answers. I just want to know the final result to prove which way is right.
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  4. #4
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    Quote Originally Posted by Tracer View Post
    Yes that is what I meant, sorry, I don't really know how to use code to make an image like that. Me and my dad had a controversy on how to solve it. My teacher showed me a way to cancel out the bases, but my dad did it another way and we got different answers. I just want to know the final result to prove which way is right.

    The final result is there in my post; you just have to decode it by reading it carefully .

    Tonio
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