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Math Help - [SOLVED] HW2-Qst 9-Logarithm question

  1. #1
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    [SOLVED] HW2-Qst 9-Logarithm question

    Please check if this is right:

    If log x = a, and log y = b, what expression containing both a and b is equal to:

    log \left( \frac{10x^3}{\sqrt{y^3}} \right)<br />

    Using the logarithm properties, here is what I did:

    log \left( \frac{10x^3}{\sqrt{y^3}} \right) =<br />

    log\ 10x^3 - log\ y^\frac {3}{2} =

    log\ 10 + 10g x^3 - log\ y^\frac {3}{2} =

    1 + 3\ log\ x - \frac {3}{2}\ log\ y\ =

    1 + 3\ (a) - 1.5\ (b) =

    3a-1.5b+1

    Did I get it?
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  2. #2
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    you did fine.
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  3. #3
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    Thumbs up

    Thank the lord, there might still be hope for me!!!
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