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Please help: how would I simplify this natural log problem (includes working so far)

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    • Thread Starter


    then use the log division:

    ln8^2 +ln(10^2/5)
    ln8^2 +ln20
    6ln2 +ln20

    you could simplify further i suppose, it depends what form they ask..
    • Thread Starter


    (Original post by Sam00)
    would ln8^2 - ln5 + ln10^2 therefore be the same as ln64 - ln5 + ln100

    therefore ln64 - ln100/5

    therefore ln64 - ln20? :s

    maybe it will be clearer if I use brackets,

    its this:

    2ln(8) - ln(5) + 2ln(10)
    ln(8^2) - ln(5) + ln(10^2)
    ln(8^2) + [ln(10^2) - ln(5)] (just rearranged it and put brackets on whats important)

    [If you subtract two logs you just divide whats inside the log]

    so now:

    ln64 + ln[(10^2)/(5)]

    ln(64) + ln(20)

    Often in simplification we try to make the numbers as small as possible so we can write:

    ln(2^6) + ln(20)
    6ln(2) + ln(20)

    (Original post by Sam00)
    What was the point of this?
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