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x^log625(2+x)>=log5(x^2+4x+4) inequation

A inequation with variable

The solution

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 log(2 + x)                     
 ----------       / 2          \
  log(625)     log\x  + 4*x + 4/
x           >= -----------------
                     log(5)     
$$x^{\frac{\log{\left(x + 2 \right)}}{\log{\left(625 \right)}}} \geq \frac{\log{\left(x^{2} + 4 x + 4 \right)}}{\log{\left(5 \right)}}$$
x^(log(x + 2)/log(625)) >= log(x^2 + 4*x + 4)/log(5)