Verifying properties of logarithms in exercise, use a graphing utility to verify that the functions are equivalent for x > 0.
f(x) = inx^2/4
g(x) = 2 in x - in 4

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:

2) Check the graph below to see this equivalence. to see x>0 they  both coincide.