Question 394360: solve the following equation ln(x-1)+lnx=ln6
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! solve the following equation
ln(x-1)+lnx=ln6
=ln(x-1)(x)=ln6
ln(x^2-x)=ln6
x^2-x=6
x^2-x-6=0
solve by factoring
(x-3)(x+2)=0
ans:x=3
x=-2(reject,logarithm >0)
check:
ln(x-1)+lnx=ln6
ln(3-1)+ln(3)=ln6
.693+1.099=1.7917
1.792=1.7917
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