Simplify:
$2\log_{10}\sqrt{x}+3\log_{10}x^{\frac{1}{3}}$
I got to this: $2\log_{10}x^{\frac{1}{2}}+3\log_{10}x^{\frac{1}{3}}$.
Now, usually you bring the exponent the the front and that would yield:
$\frac{1}{2}(2)\log_{10}x+\frac{1}{3}(3)\log_{10}x=\log_{10}x+\log_{10}x=2\log_{10}x$
And that's it?