Is this question proper? "Solve $\log_{10}x\in\mathbb{R}$."?
I know that $\log_{10}x\in\mathbb{R}$ means $x\in(0,\infty)$, but can we write "Solve $\log_{10}x\in\mathbb{R}$." as a question alone? Thank you.
Is this question proper? "Solve $\log_{10}x\in\mathbb{R}$."?
I know that $\log_{10}x\in\mathbb{R}$ means $x\in(0,\infty)$, but can we write "Solve $\log_{10}x\in\mathbb{R}$." as a question alone? Thank you.
Perhaps it would be better to ask, "For what $x$ is $\log_{10} x \in \mathbb{R}$?" When you say "solve" it suggests there are a finite number of solutions, and there aren't finitely many.
"Solve $\log_{10}x$" may make sense if you interpret "solve" as evaluate/simplify. For example: "Solve $\log_{10}100$":
$\log_{10}100=\log_{10}10^2=2$