document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #143483 by Alan3354(69443)![]() ![]() 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? \n" ); document.write( "---------------- \n" ); document.write( "Since b = 1, what you have is: \n" ); document.write( "g(x) = x and h(x) = log(x) \n" ); document.write( "------------- \n" ); document.write( "g(x) = x is a straight line thru the Origin with a slope of +1 (45 degrees up to the right). \n" ); document.write( "h(x) crosses the x-axis at (1,0 and does not intersect g(x). \n" ); document.write( "-------------- \n" ); document.write( "In other words, log(x) = x has no solution. \n" ); document.write( "------------- \n" ); document.write( "You can see these graphically if you dl the (free) software at \n" ); document.write( "www.padowan.dk.com/graph/ \n" ); document.write( " \n" ); document.write( " |