Final answer:
To graph the system of equations log6x = log2(x+4), Omar should use the equivalent system y = log2x and y = (1 / log26) · log2(x + 4), and plot both equations on the same set of axes.
Step-by-step explanation:
To graph the system of equations where log6x = log2(x+4), Omar should first understand that this equation can be transformed into a system of equations that is easier to graph. The transformation utilizes the property of logarithms and the concept of inverse functions. Using the property where the logarithm of a number in one base can be expressed as the logarithm in another base multiplied by a constant, we can write the equation log6x = (log26) · log2x.
From there, Omar can set up the system of equations that he needs to graph. The system would consist of:
y = log2x
y = (1 / log26) · log2(x + 4)
To graph this system, Omar would plot both of these equations on the same set of axes using a logarithmic scale where appropriate, for example, on the y-axis if he is plotting log values.