Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction did the third teacher receive?

If 6logx2 - 3logx3 = 3log50.2, find x.

Given that \(\sqrt[3]{{4}}\)\(^{2x}\) = 16, find the value of x

Evaluate \(\frac{\frac{1}{10}\times\frac{2}{3}+\frac{1}{4}}{\frac{\frac{1}{2}}{\frac{3}{5}}-\frac{1}{4}}\)