SOLUTION: how would you solve: log(x+1)+(x-7)=log(10x+10) this is what i did so far: a. log(x+1)(x-7)=log(10x+10) b.log (x+1)(x+7)/(10x+10)---> is this correct...now am stuck i don't kn

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Question 695513: how would you solve:
log(x+1)+(x-7)=log(10x+10)
this is what i did so far:
a. log(x+1)(x-7)=log(10x+10)
b.log (x+1)(x+7)/(10x+10)---> is this correct...now am stuck i don't know the next step or if i even did it correctly
Thank you in advance!

Found 2 solutions by mouk, MathTherapy:
Answer by mouk(232)   (Show Source): You can put this solution on YOUR website!
You are correct upto (a)
If then
because if and only if
which reduces to a quadratic:


so or

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
how would you solve:
log(x+1)+(x-7)=log(10x+10)
this is what i did so far:
a. log(x+1)(x-7)=log(10x+10)
b.log (x+1)(x+7)/(10x+10)---> is this correct...now am stuck i don't know the next step or if i even did it correctly
Thank you in advance!

Is this , or is it: ?

If it's the latter, then we have:

Since this actually means: , then:





(x + 1)(x - 17) = 0

x = - 1 (ignore as CANNOT BE = 0, NOR CAN BE < 0)

Therefore, only solution is:

You can do the check!!

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com

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