SOLUTION: Given Log(a)=0.0441 and log(b)=0.7964; find Log[sqrt a/b] (find log square root of (a) over (b).

Question 202843: Given Log(a)=0.0441 and log(b)=0.7964; find Log[sqrt a/b] (find log square root of (a) over (b).
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Break up the log using the identity

Convert to exponential notation.

Rewrite the first log using the identity

Plug in and

Multiply

Combine like terms.

So when and
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