SOLUTION: Condense the expression : 0.5ln100-2lnx+8lny

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Question 729297: Condense the expression :
0.5ln100-2lnx+8lny
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Logarithms have a rule which tells us, p%2Aln%28a%29=ln%28a%5Ep%29. With that rule applied on 0.5ln%28100%29-2ln%28x%29%2B8ln%28y%29, we can say this:

ln%28100%5E0.5%29-ln%28x%5E2%29%2Bln%28y%5E8%29.

Logarithms have a rule which tells us, log%28b%2Cmn%29=log%28b%2Cm%29%2Blog%28b%2Cn%29 and log%28b%2C%28m%2Fn%29%29=log%28b%2Cm%29-log%28b%2Cn%29. We can apply that rule to say this:

highlight%28ln%28%28100%5E0.5%29%28y%5E8%29%2F%28x%5E2%29%29%29