ID: Class: 12 Subject: Math Topic: Relations and Functions Type: Short (SA) Year: 2025

Question:

If \(f:R^{+}\rightarrow R\) is defined as \(f(x)=\log_{a} x\) (\(a > 0\) and \(a\ne1)\), prove that f is a bijection. (\(R^{+}\) is a set of all positive real numbers.)