SOLUTION: Solve the logarithmic equation and express irrational solutions in lowest radical form. log(x) + log(x+15) = 2 I just can't seem to grasp how to solve this.

Question 83401: Solve the logarithmic equation and express irrational solutions in lowest radical form.
log(x) + log(x+15) = 2
I just can't seem to grasp how to solve this.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
log(x) + log(x+15) = 2

Use the first law of logarithms to form a single logarithm:

Using the basic definition, convert to exponential form:

Solve the quadratic formula by factoring if possible, otherwise the quadratic formula or completing the square:
(Isn't it nice when these kinds of problems factor? )
or

You must check these answers to make sure that none of the values of x make a log of a negative (logs of negatives are not allowed in the real numbers!!). Therefore, the answer must be rejected.

The final answer is .

R^2 at SCC
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