Mister Exam
log5(1+x)>log5(-x) inequation
The solution
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log(1 + x) log(-x) ---------- > ------- log(5) log(5)
$$\frac{\log{\left(x + 1 \right)}}{\log{\left(5 \right)}} > \frac{\log{\left(- x \right)}}{\log{\left(5 \right)}}$$
log(x + 1)/log(5) > log(-x)/log(5)
Solving inequality on a graph