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Math Help - Write as a sum or difference of logarithms

  1. #1
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    Write as a sum or difference of logarithms

    Write as a sum or difference of logarithms:
    Log b(base) 8^ (8th root)√(x^5y^3):z^9 (x, y and z under the root sign)

    Itís hard to type the solution, I need to learn how to post the questions the right way, but for now please excuse me. Is the answer ⅝ log b (base) x + ⅜ log b (base) x Ė 9/8 log b (base) 2

    Thank you
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  2. #2
    MHF Contributor red_dog's Avatar
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    If you mean \displaystyle\log_b\sqrt[8]{\frac{x^5y^3}{z^9}} then what you wrote is correct:
    \displaystyle\frac{5}{8}\log_bx+\frac{3}{8}\log_by-\frac{9}{8}\log_bz.

    (The last sign is z, not 2)
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  3. #3
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    red dog, thank you
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