SOLUTION: I need help with solving this logarithmic equation log x+log(x+3)=1

Question 129924: I need help with solving this logarithmic equation
log x+log(x+3)=1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Combine the logs using the identity

Rewrite the equation using the property: ====>

Evaluate to get

Distribute

Subtract 10 from both sides

Factor the right side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for x in each case

So our possible answers are
or

However, if you plug in , you'll have a negative number in the log.

So our only answer is
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