SOLUTION: Use a graphing utility to graph f and g in the same viewing window. f(x) = 125^x g(x) = 625 Approximate the point of intersection of the graphs of f and g. (Round your answe

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Use a graphing utility to graph f and g in the same viewing window. f(x) = 125^x g(x) = 625 Approximate the point of intersection of the graphs of f and g. (Round your answe      Log On


   

Question 1183188: Use a graphing utility to graph f and g in the same viewing window.
f(x) = 125^x
g(x) = 625
Approximate the point of intersection of the graphs of f and g. (Round your answers to three decimal places.)
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.

125%5Ex = %285%5E3%29%5Ex%29 = 5%5E%283x%29.


625 = 25%5E2 = 5%5E4.


The intersection point is the solution of the equation


    5%5E%283x%29 = 5%5E4,

or

    3x = 4,   giving  x = 4%2F3.      ANSWER

Solved.