SOLUTION: I am lost on this one Solve ln(3x+7)+lnx=ln6 Thank you

Question 61746: I am lost on this one

Solve ln(3x+7)+lnx=ln6
Thank you
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
ln(3x+7) + lnx = ln6
or ln((3x+7)*x) - ln6 = 0
or ln((3x+7)*x/6) = 0

This means,

or
or
or
or
or
or

Either or or
i.e. either or

But, logarithm of a negative number is not defined. If then becomes undefined. So x cannot be -3.
Thus is the only solution.
RELATED QUESTIONS
I am lost on this one Solve ln(3x+7)+lnx=ln6 Thank... (answered by psbhowmick)

I am lost on this one Solve ln(3x+7)+lnx=ln6 Thank... (answered by psbhowmick,jai_kos)

I am lost on this one Solve 3x^2-x-4<_0 thank you for your... (answered by stanbon,funmath)

How do I solve the following problems logx + log1.4 =2 lnx - ln1.4 =2 and... (answered by josmiceli)

solve the following equation... (answered by lwsshak3)

ln(5x+4)-lnx=ln6. solve for... (answered by stanbon)

Hi Tutor, I am stuck on this problem. ln(x+2)-ln(4)=-ln x Do I take the ln of 2 and... (answered by nerdybill)

I am lost on this one Graph Y=3x^2-8x+2 and give the vertex, dpmai and range? Thank (answered by funmath)

Solve the inequality (3x-2)/(x+4) <_ 0 if you could please thoroughly explain it... (answered by josgarithmetic)