SOLUTION: What is the value of x? I am stumped. log(x+3)+log(2)=1.1

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Question 547311: What is the value of x? I am stumped.
log(x+3)+log(2)=1.1
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
log%28x%2B3%29%2Blog%282%29=1.1
We need to first put this together as one log function. Using the rule that says log(a)+log(b)=log(ab) we get
log%28%28x%2B3%292%29=1.1
Now to get rid of the log, we must do the opposite function which is to put base 10 to the whole thing as so:
10%5E%28log%28%28x%2B3%292%29%29=10%5E%281.1%29
%28x%2B3%292=10%5E%281.1%29
Now we need to isolate x, to do this we must divide both sides by 2
%28x%2B3%29=10%5E%281.1%29%2F2
And now we must subtract out the 3
x=10%5E%281.1%29%2F2-3
(This number can be done on your calculator and simplified... I will let you do the rest).
Hopefully this helps, let me know if you are still unsure:)