Math...

Find the exhaustive set of values of 'a' such that log(x²+2ax)=log(8x-6a-3) has only one solution for x.

Well I found this in chat during livestream and wish to know the answer. I m a 11th grader so if it's in 12th ka concept, do let me know.
I could just think of converting it into a quadratic then found a=1 or 13, am i right?
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