SOLUTION: If g(x) = bx and h(x) = logbx, would the graphs of these functions intersect if b = 1? If so, at what ordered pair?

Question 191170: If g(x) = bx and h(x) = logbx, would the graphs of these functions intersect if b = 1? If so, at what ordered pair?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If g(x) = bx and h(x) = logbx, would the graphs of these functions intersect if b = 1? If so, at what ordered pair?
----------------
Since b = 1, what you have is:
g(x) = x and h(x) = log(x)
-------------
g(x) = x is a straight line thru the Origin with a slope of +1 (45 degrees up to the right).
h(x) crosses the x-axis at (1,0 and does not intersect g(x).
--------------
In other words, log(x) = x has no solution.
-------------
You can see these graphically if you dl the (free) software at
www.padowan.dk.com/graph/

RELATED QUESTIONS
Determine at which points the graphs of the given pair of functions intersect: f(x) =... (answered by josgarithmetic)

44. If f(x)=3x+2 at what point do the graphs of f(x) and f^-1(x)... (answered by lwsshak3)

PLEASEEE 1. Find functions f and g so that f [g(x)] = H(x) where H(x)=(1+x^2)^3 2.... (answered by stanbon)

Juan Carlos graphs the functions f(x) = 8x - 2 and g(x) = -8x + 2 At what point will... (answered by dkppathak)

g(x)=x=5;h(x)=x-5 , are these functions inverse if so,... (answered by stanbon)

If possible, solve the system of equations. Use any method. If there is not unique... (answered by jim_thompson5910)

If f, g, and h are functions, and m and b are real numbers such that... (answered by josgarithmetic)

if f, g, and h are functions, and m and b are real numbers such that... (answered by ikleyn)