Mister Exam
log1/2(sqrt(x^2+ax+5)+1)*log5(x^2+ax+6)+loga(3)>=0 inequation
The solution
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/ ______________ \ / 2 \ log(1) | / 2 | log\x + a*x + 6/ log(3) ------*\\/ x + a*x + 5 + 1/*----------------- + ------ >= 0 2 log(5) log(a)
$$\frac{\log{\left(1 \right)}}{2} \left(\sqrt{\left(a x + x^{2}\right) + 5} + 1\right) \frac{\log{\left(\left(a x + x^{2}\right) + 6 \right)}}{\log{\left(5 \right)}} + \frac{\log{\left(3 \right)}}{\log{\left(a \right)}} \geq 0$$
((log(1)/2)*(sqrt(a*x + x^2 + 5) + 1))*(log(a*x + x^2 + 6)/log(5)) + log(3)/log(a) >= 0