Question

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

Answer 1

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