Express in terms of log 2 and log 3 :

$\text{log } \dfrac{26}{51} - \text{log } \dfrac{91}{119}$

Simplifying the expression,

$\Rightarrow \text{log } \dfrac{26}{51} - \text{log } \dfrac{91}{119} \\[1em] \Rightarrow \text{log } \Big(\dfrac{26}{51} ÷ \dfrac{91}{119}\Big) \\[1em] \Rightarrow \text{log } \Big(\dfrac{26}{51} \times \dfrac{119}{91}\Big) \\[1em] \Rightarrow \text{log } \dfrac{3094}{4641} \\[1em] \Rightarrow \text{log } \dfrac{2}{3} \\[1em] \Rightarrow \text{log } 2 - \text{log 3}.$

Hence, $\text{log } \dfrac{26}{51} - \text{log } \dfrac{91}{119} = \text{log 2 - log 3}$.