Hi, I'm stuck on these logarithm questions and hope someone can help me
1)
a) If logx²-logxy+log5x²=0, find an equation involving log x and log y
b) Hence find y in terms of x.
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2) The variable x satisfies the equation (3^x).[4^(2x+1)]=6^(x+2)
By taking logarithms of both sides show that x= log9/log8
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Given that 2In(2x+2)+Inx=In(13x+6) prove that x³+4x²-9x-6=0. Hence solve the eqation 2In(2x+2)+Inx=In(13x+6). (I have already found the roots of the x³+4x²-9x-6=0 equation, which are 2, -3 (+-) √6)
Thank you very much for your help!
