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Math Help - help!

  1. #1
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    Question help!

    can anyone simplify this:

    (a2b3c)(a3b-4c2d)
    also:
    LogV=(w) log T
    pz

    make w the subject when:
    V=25
    P=1.34
    Z=37.62
    T=20

    the answer i had was 54.165 is this correct?
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  2. #2
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    Hello, jenko!

    Simplify: . (a^2b^3c)(a^3b - 4c^2d)
    Well, we can multiply it out: . a^5b^4c - 4a^2b^3c^3d


    \log(V) \:=\:\frac{w}{pz}\log(T)

    Make w the subject when: . V=25,\;p=1.34,\;Z=37.62,\;T=20

    The answer i had was 54.165 . . . Is this correct? . . . . Yes!
    I would solve for w first . . .

    We have: . \frac{w}{pz}\log(T) \:=\:\log(V)\quad\Rightarrow\quad w \:=\:\frac{pz\log(V)}{\log(T)}

    Then: . w \;=\;\frac{(1.34)(37.62)\log(25)}{\log(20)} \;=\;54.16575669

    . . Good work!

    Last edited by Soroban; December 21st 2007 at 10:30 AM.
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  3. #3
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    (a2b3c)(a3b-4c2d)

    this is the right equation sorry!
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  4. #4
    GAMMA Mathematics
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    Quote Originally Posted by jenko View Post
    (a2b3c)(a3b-4c2d)

    this is the right equation sorry!
    Soroban already answered this, but if those #'s aren't exponents and are indeed coefficients, then your answer is:

    (a2b3c)(a3b-4c2d) = 18a^2b^2c - 48a^2bc^2d
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