Question 200511
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Your first problem makes no sense.  *[tex \Large \log_5(10) \neq \log_5(30)].  So the only answer possible is:


*[tex \Large \log_5(10) = \log_5(30) =] False, meaning the statement "the base 5 log of 10 is equal to the base 5 log of 30" is a false statement.


The difference of the logs is the log of the quotient, so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \ln(20) - \ln(5) = \ln\left(\frac{20}{5}\right) = \ln(4)]


Your third problem makes no sense either.  How can *[tex \Large 2\log(3) = \log(3^2) =\log(9)] be equal to *[tex \Large \log\left(\frac{1}{3}\)]?





John
*[tex \LARGE e^{i\pi} + 1 = 0]
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