SOLUTION: log(2x-1) = log(x+3) + log3

Question 152883: log(2x-1) = log(x+3) + log3
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

Set the inner arguments equal to one another.

Distribute.

Add to both sides.

Subtract from both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So the possible answer is ; however, we must check it.

Start with the given equation.

Plug in

Simplify. Since you cannot take the log of negative number, this means that is not a solution.

So there are no solutions.
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