If log₁₀ 2 = a and log₁₀ 3 = b; express log 5.4 in terms of 'a' and 'b'.

Given,

log₁₀ 2 = a and log₁₀ 3 = b

Simplifying the expression :

$\Rightarrow \text{log } 5.4 \\[1em] \Rightarrow \text{log } \dfrac{54}{10} \\[1em] \Rightarrow \text{log 54 - log 10} \\[1em] \Rightarrow \text{log }(2 \times 3^3) - 1 \\[1em] \Rightarrow \text{log 2} + \text{log }3^3 - 1 \\[1em] \Rightarrow \text{log 2 + 3 log 3} - 1 \\[1em] \Rightarrow a + 3b - 1.$

Hence, log 5.4 = a + 3b - 1.