# Inequality with log

Algebra Level 3

$\large \log_4 \log_3 \log_2 \left(x^2 + 7x\right) \geq 0$

If the ranges of real number $$x$$ are $$(-\infty,a] \cup [b,\infty)$$, where $$a$$ and $$b$$ are integers, then find $$\dfrac{a}{b}$$.

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