Answer:
Applying Quotient and power rule. Graphically, for x>0 both curves coincide.
Step-by-step explanation:
1) Firstly, by applying the Quotient and then the Power Rule, we have a subtraction of the argument and, finally the exponent turns to be the coefficient. As it follows:
[tex]lnx=log_{e}x\\\\f(x) = ln({\frac{x^{2}}{4}})\Rightarrow f(x)=ln{x^2}-ln4\Rightarrow f(x)=2lnx-ln4\\g(x) = 2 ln x - ln 4[/tex]
2) Check the graph below to see this equivalence. to see x>0 they both coincide.
