# Math Help - Logarithmic Inequalities

1. ## Logarithmic Inequalities

I am doing a lot of questions on logarithmic inequality but i am stuck at one question:-

I dont from where to start.
2. Use that the inequality $\log_3 y\geq 0$ is equivalent to $y\geq 1$
Use that the inequality $\log_3 y\geq 0$ is equivalent to $y\geq 1$
4. We have $x^2+|x-5|>0$ for all $x\in\mathbb{R}$ so, the inequality is equivalent to $|x^2-4x|+3\geq x^2+|x-5|$ . Now use the definition of the absolute value, $|x-5|=x-5$ if $x>5$ , ... etc.