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1. ...
2. 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..
3. ...
4. (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
No

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

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