SOLUTION: Evaluate the logarithmic equation for three values of x that are greater than 2, three values of x that are between 1 and 2, and at x=2. Show your work. Use the resulting ordered p

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Evaluate the logarithmic equation for three values of x that are greater than 2, three values of x that are between 1 and 2, and at x=2. Show your work. Use the resulting ordered p      Log On


   

Question 314539: Evaluate the logarithmic equation for three values of x that are greater than 2, three values of x that are between 1 and 2, and at x=2. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph (if any).
y = -log3 (x - 1)
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
First, convert the equation y=-log%283%2Cx-1%29 to the corresponding equation in "ln":
y=-%28ln%28x-1%29%29%2F%28ln3%29

If x=2, then y=-ln1%2Fln3=0
If x=1.5, then y=-ln.5%2Fln3=.63
If x=1.8, then t=-ln.8%2Fln3=.20
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C+-log%283%2Cx-1%29+%29+

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus