Evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Show your work. Use the resulting ordered pairs to plot the graph State the equation of the line asymptotic to the graph (if any).
y = (1/4)^x+3
I don't see a logarithmic equation, I see an exponential equation.
Secondly you probably meant
y = (1/4)^(x+3)
x = 1 , y = (1/4)^4 = 1/256 = .0039
x = .25 , y = (1/4)^3.25 = .0110
x = .5 , y = (1/4)^3.5 = .0078
x = .75 , y = (1/4)^3.75 = .0055
Your graph starts extremely high in the 2nd quadrant, drops rapidly, goes through (-3,1)
has a y-intercept of .0156
and approaches the x-axis
The x-axis is a horizontal asymptote.