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Math Help - Express the given quantity as a single logarithm.

  1. #1
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    Express the given quantity as a single logarithm.

    Express the given quantity as a single logarithm.
    ln(8) + 4 ln(3)

    I did
    ln(8)+ln(3)^4
    = ln(24^4)

    and it's wrong. can someone help me? it's urgent!!! thank u!!!
    Last edited by greenbee; September 15th 2009 at 01:09 PM.
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  2. #2
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    Quote Originally Posted by greenbee View Post
    Express the given quantity as a single logarithm.
    ln(8) + 4 ln(3)

    I did
    ln(8)+ln(3)^4
    = ln(24^4)

    and it's wrong. can someone help me? it's urgent!!! thank u!!!
    Hi greenbee,

    You made a common mistake by multiplying a number without an exponent times a number with one.

    8 \times 3^4 \neq 24^4

    Here's the breakdown.

    \ln 8 + 4 \ln 3=\ln 8 + \ln 3^4 = \ln 8 + \ln 81 = \ln 648
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