Answer
The function \[y={{\log }_{b}}x\] is equivalent to the exponential form \[{{b}^{y}}=x\ \]and\[x>0,b>0,b\ne 1\].
Work Step by Step
The provided function is \[y={{\log }_{b}}x\]with base b also, logarithmic and exponential functions are inverse functions of each other,therefore, taking anti log on both sides of the provided function the resulted function is\[{{b}^{y}}=x\ \].
The resulted function is the exponential form of the provided function with base b and exponent\[y\].