SOLUTION: pls help me..!. Question: Express log(ab) + log(sub 100)(a) in terms of u and v if u = log(a^2) and v = log(1/b) . pls pls. answer... thank you..!

Question 937471: pls help me..!.
Question:
Express log(ab) + log(sub 100)(a) in terms of u and v if u = log(a^2) and v = log(1/b) .
pls pls. answer...
thank you..!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Express log(ab) + log(sub 100)(a) in terms of u and v if u = log(a^2) and v = log(1/b)
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If you mean logs base 10 and

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u = log(a^2) --> u = 2log(a)
log(a) = u/2
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v = log(1/b) --> v = log(1) - log(b) = 0 - log(b)
log(b) = -v
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log(ab) = log(a) + log(b) = u/2 - v
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