# I am LogLocked!

Algebra Level 5

Consider the following equation in '$$x$$' : $\log_{2x+3} (6x^2 + 23x + 21) = 4 - \log_{3x+7} (4x^2 + 12x + 9)$

The sum of possible values of '$$x$$' satisfying the above equation is of the form $$\dfrac{-a}{b}$$ ; where $$a$$ and $$b$$ are co-prime integers.

Find $$\mathbb{ a + b }$$

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