# Need Help Math homework >.<

• May 4th 2013, 11:14 PM
Gurp925
Need Help Math homework >.<
Hi there the question is Solve log6(x-1)+log6(x+4)=2 I dont get any solutions i cant factor it.

and the second one is log2(2x+4)+log2(x-1)=3 I get 2.5 as answer.

lastly loga(x - 3)(x + 4) + logax = loga5

• May 5th 2013, 12:40 AM
Gurp925
Re: Need Help Math homework >.<
Sorry there is one more logsqrt2(x-2)+logsqrt2(x+1)=4
• May 5th 2013, 01:08 AM
ManosG
Re: Need Help Math homework >.<
I can not understand fully your question, because you do not use proper mathematical symbols. But, I will try to answer it.

a)$\displaystyle \log_{6}{(x-1)} + \log_{6}{(x+4)} = \log_{6}{36} \Leftrightarrow \\ \Leftrightarrow \log_{6}{[(x-1)(x+4)]} = \log_{6}{36} \Leftrightarrow \\ \Leftrightarrow (x-1)(x+4) = 36 \quad etc... \quad The \quad others \quad are \quad exactly \quad the \quad same$
• May 5th 2013, 10:30 PM
Gurp925
Re: Need Help Math homework >.<
That equation does not factor so what to do?
• May 5th 2013, 10:42 PM
MarkFL
Re: Need Help Math homework >.<
Distribute (FOIL) the left side, then subtract through by 36, and you will have a quadratic that factors nicely...and be mindful of the domain of the log functions...