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Math Help - Write Log In Terms of a and b

  1. #1
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    Write Log In Terms of a and b

    Suppose that ln 2 = a and in 3 = b. Use rules of logarithms to write each log in terms of a and b.

    (1) ln (2/3)

    (2) ln (4throot{(2/3)}
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  2. #2
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    \ln{(a \cdot b)} = \ln{a} + \ln{b}

    \ln{\left(\frac{a}{b}\right)} = \ln{a} - \ln{b}

    \ln{(a)^n} = n\ln{a}

    \sqrt[n]{a} = a^{\frac{1}{n}}
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  3. #3
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    Quote Originally Posted by Chop Suey View Post
    \ln{(a \cdot b)} = \ln{a} + \ln{b}

    \ln{\left(\frac{a}{b}\right)} = \ln{a} - \ln{b}

    \ln{(a)^n} = n\ln{a}

    \sqrt[n]{a} = a^{\frac{1}{n}}
    Since the pronumerals a and b are used in the question, your excellent advice might be misunderstood. Re-pronumeraling:

    \ln{(A \cdot B)} = \ln{A} + \ln{B}

    \ln{\left(\frac{A}{B}\right)} = \ln{A} - \ln{B}

    \ln{(A)^n} = n\ln{A}

    \sqrt[n]{A} = A^{\frac{1}{n}}
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  4. #4
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    Good...

    I thank both of you.
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