Question

Log base 4 (x^2) - log base 4 (x)

Answer 1

`log_(4)( {x})`

Explanation:

`log_(4)( {x}^(2) ) - log_(4)(x) \\ = log_(4) \bigg( \frac{ {x}^(2) }{x} \bigg )..(by \: quotient \: rule) \\ = log_(4)( {x}) \\ \\ \purple{ \boxed{ \bold{\therefore \: log_(4)( {x}^(2) ) - log_(4)(x) = log_(4)( {x}) }}}`