$$x^{{2(\log(x)})^3-1.5\log(x)} \geq 10^{1/2}$$
where $\log$ is decimal logarithm.
Just solve it and that's it. Can someone help me with some ideas or even with a solution? I have no idea how to deal with it.
So, I added logs to both sides and got.
$2t^4 -3/2t^2-1/2≥0 $ Where t = $\log(x)$
Then, $t^2$=z.
$4z^2-3z-1≥0$(i multiplied everything by 2)
D=25
z1=1,z2=-1/4.
What to do next?
Hint: Apply $\log$ to both sides and it becomes a quartic inequality of $\log x$.