SOLUTION: I need to solve this equation on a worksheet:
log X +log (X + 2) = log 3
Thank you!!!
Algebra.Com
Question 70987: I need to solve this equation on a worksheet:
log X +log (X + 2) = log 3
Thank you!!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Combine logs using basic identity log(x)+log(y)=log(x*y)
Cancel out logs by making the base 10 with the equation as a raised power (which undoes the logs with base 10)
Now you have an equation in which you can solve for x
Get everything to one side and factor it, then solve for x
and are your solutions. But wait, we're not done yet. We need to check these answers
Check:
Let x=1
Answer works
Let x=-3
You cannot take the log of a negative number (if you want a real number) so this solution does not work.
So the the only solution that works is x=1
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