SOLUTION: {{{ log((sqrt((100a^4)/((a^2+8)(a+2)^5)))) }}} expand the expression Thank you

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: {{{ log((sqrt((100a^4)/((a^2+8)(a+2)^5)))) }}} expand the expression Thank you      Log On


   

Question 956980: +log%28%28sqrt%28%28100a%5E4%29%2F%28%28a%5E2%2B8%29%28a%2B2%29%5E5%29%29%29%29+
expand the expression
Thank you
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28%28sqrt%28%28100a%5E4%29%2F%28%28a%5E2%2B8%29%28a%2B2%29%5E5%29%29%29%29+
expand the expression
-------------------
= +%281%2F2%29log%28%28100a%5E4%29%2F%28%28a%5E2%2B8%29%28a%2B2%29%5E5%29%29
= %281%2F2%29%28log%28%28100a%5E4%29+-+log%28a%5E2%2B8%29+-+log%28a%2B2%29%5E5%29%29%29
or
= %281%2F2%29%28log%28%28100a%5E4%29+-+log%28a%5E2%2B8%29+-+5log%28a%2B2%29%29%29%29
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You can make log(100a^4) = log(100) + 4log(a) = 2 + 4log(a)
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idk if that's expected.