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1 solution
Take log to the base 2 both side . Then substitute log x to the base 2 as t.
By doing this, you will be leading to
(6t^{2}+ 8t - 10t)(t)=4
3t^{3}+4t^{2}-5t-2=0
(t-1)(t+2)(3t+1)=0
so, t=1, t=-2, t=-1/3 are the solutions for this equation.
which leads to x=2,-1/4, and 2^{-1/3}.
Hence answer x={2}