SOLUTION: Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation;

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation;       Log On


   

Question 251604: Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and 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.
y= (5/2)^x
x= (5/2)^y
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Here is my answer based on my understanding of the instructions:
Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0.
y=+%285%2F2%29%5Ex
(X,Y): (-3, 8/125), (-2, 4/25) (-1, 2/5) (0,1) (1,5/2) (2,25/4) (3,125/8)
Transform the second expression into the equivalent logarithmic equation
x+=+%285%2F2%29%5Ey
log(x) = ylog(5/2)
y = log(x) / log(5/2)
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.
(X,Y): (.25, -1.513) (.5, -.7564) (.75, -.3140) (1, 0) (2, .7565) (3, 1.990) (4, 1.5129)