If log 2 = 0.3010 and log 3 = 0.4771; find the value of $\dfrac{2}{3}$ log 8.

Simplifying the expression,

$\Rightarrow \dfrac{2}{3} \text{ log 8} \\[1em] \Rightarrow \dfrac{2}{3} \text{ log 2}^3 \\[1em] \Rightarrow \dfrac{2}{3} \times 3 \text{ log 2} \\[1em] \Rightarrow 2 \text{log 2} \\[1em] \Rightarrow 2 \times 0.3010 \\[1em] \Rightarrow 0.6020$

Hence, $\dfrac{2}{3}$ log 8 = 0.6020