Posted by **Nicole** on Monday, September 6, 2010 at 3:56am.

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

- Algebra -
**Reiny**, Monday, September 6, 2010 at 9:04am
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.

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