SOLUTION: Solve for x if 2log(x-1)+3log2=log(x+2) Solution is 1.678

Algebra.Com
Question 1042897: Solve for x if 2log(x-1)+3log2=log(x+2)
Solution is 1.678

Found 2 solutions by Fombitz, Edwin McCravy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!





Complete the square,









However the negative value would lead to a negative argument in the log function so only the positive solution works.


Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Instead of doing yours for you, I'll do another one exactly
like yours step-by-step, so you can use it as an exact model 
of yours to go by.

























 

Using the +



Using the -



Looking at the original equation:



We see that the answer 
is an extraneous answer because the first term would be the
log of a negative number, so the only solution is



Your problem is exactly in every step like yours.  So all
you have to do is use it as an exact model for yours.


O crap.  The other tutor did it for you.  Phooey! :)
Edwin

RELATED QUESTIONS

Solve 2log(x-1)=... (answered by MathLover1)
Solve: log(base 2) x - 2log(base2) (x-1) =... (answered by lwsshak3)
log x+1/2log(x+2)=2 (answered by Alan3354)
solve log(7x^2+30x+2) - 2log(x+1) =... (answered by vleith)
Solve for x: 2log(3x)-log(8x+1)=log x I think the answer is x=0,1/2... (answered by edjones)
1/2log(x+2)=2 solve for... (answered by mananth)
Solve and check a) 2log(x-1) = 2+ log... (answered by josgarithmetic,lwsshak3)
Solve equation Logarithm... (answered by MathLover1)
Solve fora in log(2a)- 3log2=... (answered by MathLover1,lwsshak3)