SOLUTION: how od you prove
log a (U/V)= log a U-log a V
Algebra.Com
Question 229840: how od you prove
log a (U/V)= log a U-log a V
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If you accept the facts that
 + \log_b(y)\ =\ \log_b(xy))
and
\ =\ \log_b(\frac{1}{x}))
as givens, then you have a simple matter of substitution
 - \log_b(y)\ =\ \log_b(x) + \log_b\left(\frac{1}{y}\right)\ =\ \log_b\left(x\left(\frac{1}{y}\right)\right)\ =\ \log_b\left(\frac{x}{y}\right))
If you need to prove the fundamental underlying facts, then drop me a line and we'll discuss my fee.
John
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