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Math Help - laws of logs?

  1. #1
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    laws of logs?

    I have almost completed the question. I am using the mark scheme to check my answers and i have managed to correctly get to this line

    -ln2 + ln1 + 4ln3 - 4ln2 - 3ln4 + 3ln3

    Now the mark scheme jumps from this straight to this

    -11n2 + 7ln3

    Could anybody show me how this is done?

    I know ln1 = 0 and the coefficients of ln can become the power but i still dont see how it works :s
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  2. #2
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    Just notice that 3\ln (4) = 3\ln (2^2 ) = 6\ln (2).
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  3. #3
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    Sneaky! thanks!
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