SOLUTION: (a) Sketch the graphs of f(x) = 9^(x/2) and g(x) = 3^x (b) Use the Laws of Exponents to explain the relationships between these graphs Thank you

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: (a) Sketch the graphs of f(x) = 9^(x/2) and g(x) = 3^x (b) Use the Laws of Exponents to explain the relationships between these graphs Thank you      Log On


   

Question 47660This question is from textbook College Algebra
: (a) Sketch the graphs of f(x) = 9^(x/2) and g(x) = 3^x
(b) Use the Laws of Exponents to explain the relationships between these graphs
Thank you This question is from textbook College Algebra

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = 9^(x/2)
graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C9%5E%28x%2F2%29%29
g(x) = 3^x
graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C3%5Ex%29
They are the same! This is true by:
f(x) = 9^(x/2) = sqrt(9)^x = 3^x