# Exponential + Logarithm Equation

Algebra Level 4

$\Large 3^x\cdot8^{\frac{x}{x+2}}=6$

If the sum of all real solutions can be represented by $$-a-b\log_cd$$ when $$a,b,c$$ and $$d$$ are positive integers and $$b>1$$. Find the minimum value of $$a+b+c+d$$.

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