Question

Find the inverse of f (x)=log(subscript 4) x

Answer 1

`f\left( x \right) =\log _( 4 ){ x } \\ \\ \log _( 4 ){ x } =y\\ \\ { 4 }^( y )=x\\ \\ \therefore \quad { f }^( -1 )\left( x \right) ={ 4 }^( x )`

Answer 2

`f(x)=\log_4x\\\\ y=\log_4x\\ x=4^y\\ f^(-1)(x)=4^x`