SOLUTION: logx + log(x + 3) = 1 Can someone show me the steps to get the answer of x= -5 or 2? Thanks

Question 133332: logx + log(x + 3) = 1
Can someone show me the steps to get the answer of x= -5 or 2?
Thanks
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

Distribute

Raise both sides as exponents with bases of 10. This eliminates the logs

Simplify

Subtract 10 from both sides.

Factor the left 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, since you cannot take the log of a negative number, the only solution is

------------------------------------
Answer:
So our answer is
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