rewrite 3 log x - 2 log (x^2+1) +5 log (x-1) as single log

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.

rewrite 3 log x - 2 log (x^2+1) +5 log (x-1) as single log

Postby opera_elle on Fri Mar 05, 2010 4:46 am

Rewrite the expression
3 log x - 2 log (x^2+1) +5 log (x-1)
as a single logarithm \log A. Then the function
A=???
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Re: rewrite 3 log x - 2 log (x^2+1) +5 log (x-1) as single log

Postby maggiemagnet on Fri Mar 05, 2010 12:28 pm

opera_elle wrote:Rewrite the expression
3 log x - 2 log (x^2+1) +5 log (x-1)
as a single logarithm \log A. Then the function
A=???

The rewriting uses the rules they gave you. (You can review them here.) For example, 3log(x) turns into log(x3), and log(x3) - log((x2 + 1)2) becomes log(x3 / ((x2 + 1)2).

But I don't understand what is meant by "\log A", nor what function they're referring to. How does A relate to the various logarithms? :confused:
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