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# ln4 - 0.5 ln2 = 1.5 ln2 ... watch

1. ln4 - 0.5 ln2 = 1.5 ln2
how? could someone just quickly explain the rules which get me to that answer... thank you ! xxx
2. (Original post by franks)
ln4 - 0.5 ln2 = 1.5 ln2
how? could someone just quickly explain the rules which get me to that answer... thank you ! xxx
As n ln a = ln (a^n)

ln 4 = ln (2^2) = 2 ln 2

therefore 2 ln 2 - 0.5 ln 2 = 1.5 ln 2

(2-0.5) ln 2 = 1.5 ln 2

1.5ln 2 = 1.5 ln 2
3. As n ln a = ln (a^n)

ln 4 = ln (2^2) = 2 ln 2

therefore 2 ln 2 - 0.5 ln 2 = 1.5 ln 2

(2-0.5) ln 2 = 1.5 ln 2

1.5ln 2 = 1.5 ln 2
of course, thanks

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Updated: April 14, 2006
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