Common logarithm question

I'm studying logarithms and am doing an exercise where you're supposed to evaluate the solutions of common logarithms without using a calculator. I'm very stuck on this one particular question. I know the answer because I used my calculator, but I'd like to know how to solve it without one. The question is

$\mathrm{log}\left(\frac{10}{\sqrt[3]{10}}\right)$

How do I solve this without a calculator? (Please provide a step-by-step solution, this has really confused me.)

I'm studying logarithms and am doing an exercise where you're supposed to evaluate the solutions of common logarithms without using a calculator. I'm very stuck on this one particular question. I know the answer because I used my calculator, but I'd like to know how to solve it without one. The question is

$\mathrm{log}\left(\frac{10}{\sqrt[3]{10}}\right)$

How do I solve this without a calculator? (Please provide a step-by-step solution, this has really confused me.)