Question

If log ₁₀ x = a, express the following in terms of x: 10^{2a -3} 

Answer 1

10^{2a -3} 
log ₁₀ x = a
⇒ x = 10 ^a 
∴ 10^{2a -3} 
= 10^2a . 10^-3 
= (10 ^a)² 10^-3
= `x^2/(1000)`.